Final answer:
To solve the proportion, we express it as an equation, cross-multiply, and then divide to isolate x, resulting in x = 7.5%, which means that the ratio of x% to 15 is equivalent to the ratio of 33% to 66%.
Step-by-step explanation:
To solve the proportion 33% : 66:: x%: 15, we need to understand that it represents a ratio, meaning '33 is to 66 as x is to 15'. This can be written as two fractions being equal to each other: 33/66 = x/15. To find x, we simply cross-multiply and solve for x. Here's the step-by-step solution:
- Write the proportion as an equation: 33/66 = x/15.
- Cross-multiply to get 33 * 15 = 66 * x.
- Do the multiplication: 495 = 66x.
- Divide both sides of the equation by 66 to isolate x: x = 495 / 66.
- Calculate the value of x to find x = 7.5.
So, x = 7.5%, which means that the ratio of x% to 15 is equivalent to the ratio of 33% to 66%.