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Finding the Fourth Proportional to 10,504.70, 15,737.85 and 8,546.30

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Solution

The fourth proportional to 10,504.70, 15,737.85 and 8,546.30 is: 12,803.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.70 : 15,737.85 = 8,546.30 : x
  2. Step 2: Convert to fraction form
    10,504.70/15,737.85 = 8,546.30/x
  3. Step 3: Cross multiply
    10,504.70x = 15,737.85 × 8,546.30
  4. Step 4: Simplify right side
    10,504.70x = 134,500,387.46
  5. Step 5: Solve for x
    x = 134,500,387.46/10,504.70
  6. Step 6: Final answer
    x = 12,803.83

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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.