Calculating the Required Number

To find the number which has the same ratio to 26 as 6 has to 13, we need to use the concept of proportion. The proportion can be expressed as:

x/26 = 6/13

where x is the number we need to find.

Cross-multiplying the Equation

To solve for x, we can cross-multiply the equation, which gives:

13x = 6 x 26

Simplifying the right-hand side, we get:

13x = 156

Dividing both sides by 13, we get:

x = 12

Therefore, the number which has the same ratio to 26 as 6 has to 13 is 12.

Explanation

The ratio of 6 to 13 can be expressed as 6/13 or 0.46 (rounded to two decimal places). This means that for every 6 units of a quantity, there are 13 units of another quantity.

Similarly, the ratio of x to 26 can be expressed as x/26. We need to find the value of x that makes the ratio of x to 26 equal to the ratio of 6 to 13.

By cross-multiplying the equation, we get 13x = 6 x 26, which simplifies to 13x = 156. Dividing both sides by 13, we get x = 12.

Therefore, the number which has the same ratio to 26 as 6 has to 13 is 12.

X/26=6/13

= x13=26×6

=12