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Finding the Fourth Proportional to 14,774.60, 22,178.10 and 9,234.20

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Solution

The fourth proportional to 14,774.60, 22,178.10 and 9,234.20 is: 13,861.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,774.60 : 22,178.10 = 9,234.20 : x
  2. Step 2: Convert to fraction form
    14,774.60/22,178.10 = 9,234.20/x
  3. Step 3: Cross multiply
    14,774.60x = 22,178.10 × 9,234.20
  4. Step 4: Simplify right side
    14,774.60x = 204,797,011.02
  5. Step 5: Solve for x
    x = 204,797,011.02/14,774.60
  6. Step 6: Final answer
    x = 13,861.43

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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.