Three values exist in a 3 : 4 : 6 proportion and yield a product of 1944. The largest among these values is :___________?
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Answer: C. 18
Explanation
Representing the proportional values as three x, four x, and six x incorporates a common multiplier. Multiplying the three algebraic terms together gives seventy two x cubed equal to nineteen forty four. Solving for x yields a multiplier of three, making the largest value equal to eighteen. Proportional values can be expressed using a shared algebraic multiplier variable for calculations. Multiplying three terms containing an unknown variable produces a cubic equation in standard form. Extracting the cube root of an integer solves for the underlying scale factor variable.
Financial asset distribution models use proportional ratios to divide investment returns among partners. Geometric scaling calculations apply proportional multipliers to determine volume dimensions. Algebraic word problems build fundamental problem solving skills for competitive examinations. Option A suggests six which represents the multiplier or an incorrect intermediate value. Option B proposes twelve which corresponds to the middle proportional value in the set. Option D offers none of these, but option C provides the correct calculated largest value.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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