6.) 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
To determine which ratio forms a proportion with 9/4, we can set up the cross products:
For the ratio 5/3:
9/4 = 5/3
9 * 3 = 4 * 5
27 = 20
Since 27 is not equal to 20, the ratio 5/3 does not form a proportion with 9/4.
For the ratio 27/12:
9/4 = 27/12
9 * 12 = 4 * 27
108 = 108
Since 108 is equal to 108, the ratio 27/12 forms a proportion with 9/4.
For the ratio 36/20:
9/4 = 36/20
9 * 20 = 4 * 36
180 = 144
Since 180 is not equal to 144, the ratio 36/20 does not form a proportion with 9/4.
For the ratio 18/4:
9/4 = 18/4
9 * 4 = 4 * 18
36 = 36
Since 36 is equal to 36, the ratio 18/4 forms a proportion with 9/4.
Therefore, the ratios 27/12 and 18/4 both form proportions with 9/4.