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Finding the Fourth Proportional to 16,202.21, 24,285.24 and 6,839.42

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Solution

The fourth proportional to 16,202.21, 24,285.24 and 6,839.42 is: 10,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.21 : 24,285.24 = 6,839.42 : x
  2. Step 2: Convert to fraction form
    16,202.21/24,285.24 = 6,839.42/x
  3. Step 3: Cross multiply
    16,202.21x = 24,285.24 × 6,839.42
  4. Step 4: Simplify right side
    16,202.21x = 166,096,834.73
  5. Step 5: Solve for x
    x = 166,096,834.73/16,202.21
  6. Step 6: Final answer
    x = 10,251.50

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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.