How do I solve these proportions, 3/4 = -6/m?

Understand the Problem

The question is asking how to solve the proportion 3/4 = -6/m for the variable m. This will involve cross-multiplying and isolating the variable to find its value.

Answer

$m = -8$

Steps to Solve

Cross-Multiply the Proportion

To solve the proportion $\frac{3}{4} = \frac{-6}{m}$, we will cross-multiply. This gives us:

$$ 3 \cdot m = 4 \cdot (-6) $$

Multiply Both Sides

Now we perform the multiplication on the right side:

$$ 3m = -24 $$

Isolate the Variable

To find the value of $m$, we divide both sides by 3:

$$ m = \frac{-24}{3} $$

Calculate the Final Value of m

Now we simplify the fraction:

$$ m = -8 $$

The value of $m$ is $-8$.

More Information

The solution shows that $m$, when found, is a negative number. It's important to note that the original proportion involves negative values which can frequently result in a negative solution.

Tips

Not cross-multiplying correctly: Be careful to multiply the correct pairs across the equation.
Forgetting to simplify: Make sure to simplify your final answer after dividing.

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