6.) Use cross products to determine which ratio forms a proportion with
9/4
5/3
27/12
36/20
18/4
To determine which ratios form a proportion with 9/4, we can use the cross product property of proportions. The cross product of two ratios is found by multiplying the numerator of one ratio by the denominator of the other ratio.
1) For 9/4 and 5/3:
(9 * 3) = 27 and (4 * 5) = 20
Since 27 is not equal to 20, the ratio 5/3 does not form a proportion with 9/4.
2) For 9/4 and 27/12:
(9 * 12) = 108 and (4 * 27) = 108
Since both products are equal to 108, the ratio 27/12 forms a proportion with 9/4.
3) For 9/4 and 36/20:
(9 * 20) = 180 and (4 * 36) = 144
Since 180 is not equal to 144, the ratio 36/20 does not form a proportion with 9/4.
4) For 9/4 and 18/4:
(9 * 4) = 36 and (4 * 18) = 72
Since 36 is not equal to 72, the ratio 18/4 does not form a proportion with 9/4.
Therefore, the ratio that forms a proportion with 9/4 is 27/12.