Subjects algebra

Proportionality Constant B460C5

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1. **Stating the problem:** We are given the formula $C = kabc$ and need to understand or simplify it. 2. **Understanding the formula:** The formula $C = kabc$ suggests that $C$ is proportional to the product of $k$, $a$, $b$, and $c$. 3. **Important rules:** When multiplying variables and constants, multiplication is associative and commutative, so order does not matter. 4. **Simplification:** Since $c$ appears on both sides, if we want to solve for $k$, we can divide both sides by $abc$ (assuming none are zero): $$k = \frac{C}{abc}$$ 5. **Showing cancellation:** $$k = \frac{C}{\cancel{a}\cancel{b}\cancel{c}}$$ 6. **Explanation:** This means $k$ is the constant of proportionality relating $C$ to the product $abc$. **Final answer:** $$k = \frac{C}{abc}$$