1) To solve the first proportion, we first convert mixed numbers to improper fractions8 1/8 = 65/2 1/2 = 5/2
Now we have65/8 : 5/2 = 2 2/3 : x
Next we invert the second ratio65/8 2/5 = 2 2/3 x
Multiplying the fractions(65 2) / (8 5) = (8/3) * 130 / 40 = 8x/13/4 = 8x/3
Cross multiply to solve for x3 13 = 8x 39 = 32x = 39/32
Therefore, the value of x is 39/32.
2) To solve the second proportion, we have24 : 36 = x : 4
Cross multiply24 4 = 36 96 = 36x = 96 / 3x = 2.67
So, the value of x is 2.67.
3) To solve the third proportionx : 9 = 15 : 24
Cross multiplyx 24 = 9 124x = 13x = 135 / 2x = 5.625
Therefore, the value of x is 5.625.
1) To solve the first proportion, we first convert mixed numbers to improper fractions
8 1/8 = 65/
2 1/2 = 5/2
Now we have
65/8 : 5/2 = 2 2/3 : x
Next we invert the second ratio
65/8 2/5 = 2 2/3 x
Multiplying the fractions
(65 2) / (8 5) = (8/3) *
130 / 40 = 8x/
13/4 = 8x/3
Cross multiply to solve for x
3 13 = 8x
39 = 32
x = 39/32
Therefore, the value of x is 39/32.
2) To solve the second proportion, we have
24 : 36 = x : 4
Cross multiply
24 4 = 36
96 = 36
x = 96 / 3
x = 2.67
So, the value of x is 2.67.
3) To solve the third proportion
x : 9 = 15 : 24
Cross multiply
x 24 = 9 1
24x = 13
x = 135 / 2
x = 5.625
Therefore, the value of x is 5.625.