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Finding the Fourth Proportional to 9,984.32, 14,956.32 and 9,167.84

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Solution

The fourth proportional to 9,984.32, 14,956.32 and 9,167.84 is: 13,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.32 : 14,956.32 = 9,167.84 : x
  2. Step 2: Convert to fraction form
    9,984.32/14,956.32 = 9,167.84/x
  3. Step 3: Cross multiply
    9,984.32x = 14,956.32 × 9,167.84
  4. Step 4: Simplify right side
    9,984.32x = 137,117,148.75
  5. Step 5: Solve for x
    x = 137,117,148.75/9,984.32
  6. Step 6: Final answer
    x = 13,733.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.