Ratio and Proportion: 0.6: X:: 7:42

Ratio and Proportion: 0.6: X:: 7:42

A.
X=2.4

B.
X=0.6

C.
X=1.2

D.
X=3.6

To solve the proportion 0.6X=742\frac{0.6}{X} = \frac{7}{42}X0.6​=427​, follow these steps:

  1. Set up the proportion as an equation:0.6X=742\frac{0.6}{X} = \frac{7}{42}X0.6​=427​
  2. Cross-multiply to solve for XXX:0.6×42=7×X0.6 \times 42 = 7 \times X0.6×42=7×X 25.2=7X25.2 = 7X25.2=7X X=25.27≈3.6X = \frac{25.2}{7} \approx 3.6X=725.2​≈3.6

So the value of XXX is:

D. 3.6

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