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Finding the Fourth Proportional to 8,235.73, 12,324.89 and 6,737.64

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Solution

The fourth proportional to 8,235.73, 12,324.89 and 6,737.64 is: 10,082.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.73 : 12,324.89 = 6,737.64 : x
  2. Step 2: Convert to fraction form
    8,235.73/12,324.89 = 6,737.64/x
  3. Step 3: Cross multiply
    8,235.73x = 12,324.89 × 6,737.64
  4. Step 4: Simplify right side
    8,235.73x = 83,040,591.95
  5. Step 5: Solve for x
    x = 83,040,591.95/8,235.73
  6. Step 6: Final answer
    x = 10,082.97

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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.