Class 7 Exam > Class 7 Questions > If 4, x, 9 are in continued proportion then w...
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If 4, x, 9 are in continued proportion then what is the value of x?
- a)6
- b)8
- c)7
- d)9
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
If 4, x, 9 are in continued proportion then what is the value of x?a)6...
Given:
Three numbers 4, x, and 9 are in continued proportion.
To find:
The value of x.
Solution:
Continued Proportion:
In a continued proportion, the ratio of any two consecutive terms is always equal.
Step 1:
Let's assume the ratio between 4 and x is a.
So, the ratio between x and 9 will also be a.
Step 2:
According to the given information, we can write the following equation:
4/x = x/9
Step 3:
Cross multiplying the equation, we get:
4 * 9 = x * x
Step 4:
Simplifying the equation:
36 = x^2
Step 5:
Taking the square root of both sides, we get:
x = √36
Step 6:
Evaluating the square root, we get:
x = 6
Therefore, the value of x is 6.
Final Answer:
The value of x is 6.
Three numbers 4, x, and 9 are in continued proportion.
To find:
The value of x.
Solution:
Continued Proportion:
In a continued proportion, the ratio of any two consecutive terms is always equal.
Step 1:
Let's assume the ratio between 4 and x is a.
So, the ratio between x and 9 will also be a.
Step 2:
According to the given information, we can write the following equation:
4/x = x/9
Step 3:
Cross multiplying the equation, we get:
4 * 9 = x * x
Step 4:
Simplifying the equation:
36 = x^2
Step 5:
Taking the square root of both sides, we get:
x = √36
Step 6:
Evaluating the square root, we get:
x = 6
Therefore, the value of x is 6.
Final Answer:
The value of x is 6.
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Community Answer
If 4, x, 9 are in continued proportion then what is the value of x?a)6...
4*9=x*x
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If 4, x, 9 are in continued proportion then what is the value of x?a)6b)8c)7d)9Correct answer is option 'A'. Can you explain this answer?
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If 4, x, 9 are in continued proportion then what is the value of x?a)6b)8c)7d)9Correct answer is option 'A'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about If 4, x, 9 are in continued proportion then what is the value of x?a)6b)8c)7d)9Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 4, x, 9 are in continued proportion then what is the value of x?a)6b)8c)7d)9Correct answer is option 'A'. Can you explain this answer?.
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