What is the answer to (3.4)/x =(2.17)/(7.7) ?

The answer to (3.4)/x =(2.17)/(7.7) is x= 374/31

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(3.4)/x =(2.17)/(7.7)

\frac{3.4}{x} = \frac{2.17}{7.7}

x = \frac{374}{31}

Decimal Notation

x = 12.06451 \dots

Solution steps

\frac{3.4}{x} = \frac{2.17}{7.7}

Cross multiply

26.18 = x \cdot 2.17

Switch sides

x \cdot 2.17 = 26.18

Multiply both sides by

100

217 x = 2618

Divide both sides by

217

x = \frac{374}{31}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{374}{31}

5 (\frac{x}{2900 + x}) = 0.2

\frac{2}{3} = \frac{6}{x}

\frac{x - 2}{x + 1} = 0

\frac{18 x ^{2}}{x ^{4} + 81} = 1

x^{- 3} = \frac{1}{27}

What is the answer to (3.4)/x =(2.17)/(7.7) ?
The answer to (3.4)/x =(2.17)/(7.7) is x= 374/31
Solve for x: (3.4)/x =(2.17)/(7.7)
The solution is x= 374/31