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Finding the Fourth Proportional to 16,234.22, 24,349.05 and 6,380.42

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Solution

The fourth proportional to 16,234.22, 24,349.05 and 6,380.42 is: 9,569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.22 : 24,349.05 = 6,380.42 : x
  2. Step 2: Convert to fraction form
    16,234.22/24,349.05 = 6,380.42/x
  3. Step 3: Cross multiply
    16,234.22x = 24,349.05 × 6,380.42
  4. Step 4: Simplify right side
    16,234.22x = 155,357,165.60
  5. Step 5: Solve for x
    x = 155,357,165.60/16,234.22
  6. Step 6: Final answer
    x = 9,569.73

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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.