Solve 6.5:x=3.25:4

$$6.5 : x = 3.25 : 4$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4x, the least common multiple of x,4.

$$4\times 6.5=x\times 3.25$$

Multiply 4 and 6.5 to get 26.

$$26=x\times 3.25$$

Swap sides so that all variable terms are on the left hand side.

$$x\times 3.25=26$$

Divide both sides by 3.25.

$$x=\frac{26}{3.25}$$

Expand \frac{26}{3.25} by multiplying both numerator and the denominator by 100.

$$x=\frac{2600}{325}$$

Divide 2600 by 325 to get 8.

$$x=8$$