Given the equation
[tex]\frac{4}{7}=\frac{10}{x}[/tex]
In order to find x
step 1: Find the Least Common Multiple (LCM) of the denominators
[tex]\text{LCM }=7x[/tex]
step 2: Multiply both sides of the fraction by the LCM
[tex]\frac{4}{7}\times7x=\frac{10}{x}\times7x[/tex]
step 3: Simply the fractions, and solve for x
[tex]\begin{gathered} 4x=70 \\ x=\frac{70}{4} \\ x=\frac{35}{2} \end{gathered}[/tex]
