Use cross products to determine which ratio forms a proportion with 9/4
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2 points
5/3
27/12
36/20
18/4
explain why
To use cross products to determine which ratio forms a proportion with 9/4, we can set up the proportion as follows:
9/4 = x/y
Where x and y represent the two parts of the other ratio.
Now, we can cross multiply:
9 * y = 4 * x
Simplifying, we get:
9y = 4x
To determine which ratio satisfies this equation, we can test each option:
1. 5/3: If we let x = 3 and y = 5, the equation becomes 9 * 5 = 4 * 3, which is not true.
2. 27/12: If we let x = 12 and y = 27, the equation becomes 9 * 27 = 4 * 12, which is not true.
3. 36/20: If we let x = 20 and y = 36, the equation becomes 9 * 36 = 4 * 20, which is not true.
4. 18/4: If we let x = 4 and y = 18, the equation becomes 9 * 18 = 4 * 4, which is true.
Therefore, the ratio 18/4 forms a proportion with 9/4. The other ratios do not satisfy the equation.