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Finding the Fourth Proportional to 10,874.40, 16,311.60 and 9,124.80

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Solution

The fourth proportional to 10,874.40, 16,311.60 and 9,124.80 is: 13,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.40 : 16,311.60 = 9,124.80 : x
  2. Step 2: Convert to fraction form
    10,874.40/16,311.60 = 9,124.80/x
  3. Step 3: Cross multiply
    10,874.40x = 16,311.60 × 9,124.80
  4. Step 4: Simplify right side
    10,874.40x = 148,840,087.68
  5. Step 5: Solve for x
    x = 148,840,087.68/10,874.40
  6. Step 6: Final answer
    x = 13,687.20

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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.