Final answer:
To solve the proportion 9/14 = x/56, cross multiply to get 504 equals 14x, then divide both sides by 14 to find that x equals 36.
Step-by-step explanation:
The student is asking to solve the proportion to find the value of x in the expression 9:14 :: x:56, which can be written as the fraction 9/14 = x/56. To solve for x, we cross multiply: 9 times 56 equals 14 times x. When we perform the multiplication, we get 504 equals 14x. To isolate x, we divide both sides of the equation by 14. So, x equals 504 divided by 14, which simplifies to x equals 36.
The step-by-step explanation is as follows:
- Set up the proportion: 9/14 = x/56
- Cross multiply to get 9 * 56 = 14 * x
- Calculate 9 * 56 = 504
- Divide both sides by 14 to solve for x: 504/14 = 36
- Therefore, x equals 36