Solve Pi8497:2744=1766:x

$$\Pi 8497 : 2744 = 1766 : x$$

Solve for x

$$x=\frac{4845904}{Π_{8497}}$$

$$Π_{8497}\neq 0$$

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 2744x, the least common multiple of 2744,x.

$$xΠ_{8497}=2744\times 1766$$

Multiply 2744 and 1766 to get 4845904.

$$xΠ_{8497}=4845904$$

The equation is in standard form.

$$Π_{8497}x=4845904$$

Divide both sides by Π_{8497}.

$$\frac{Π_{8497}x}{Π_{8497}}=\frac{4845904}{Π_{8497}}$$

Dividing by Π_{8497} undoes the multiplication by Π_{8497}.

$$x=\frac{4845904}{Π_{8497}}$$

Variable x cannot be equal to 0.

$$x=\frac{4845904}{Π_{8497}}\text{, }x\neq 0$$

Solve for Π_8497

$$Π_{8497}=\frac{4845904}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2744x, the least common multiple of 2744,x.

$$xΠ_{8497}=2744\times 1766$$

Multiply 2744 and 1766 to get 4845904.

$$xΠ_{8497}=4845904$$

Divide both sides by x.

$$\frac{xΠ_{8497}}{x}=\frac{4845904}{x}$$

Dividing by x undoes the multiplication by x.

$$Π_{8497}=\frac{4845904}{x}$$