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Finding the Fourth Proportional to 8,294.12, 12,446.03 and 5,951.60

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Solution

The fourth proportional to 8,294.12, 12,446.03 and 5,951.60 is: 8,930.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.12 : 12,446.03 = 5,951.60 : x
  2. Step 2: Convert to fraction form
    8,294.12/12,446.03 = 5,951.60/x
  3. Step 3: Cross multiply
    8,294.12x = 12,446.03 × 5,951.60
  4. Step 4: Simplify right side
    8,294.12x = 74,073,744.80
  5. Step 5: Solve for x
    x = 74,073,744.80/8,294.12
  6. Step 6: Final answer
    x = 8,930.88

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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.