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Finding the Fourth Proportional to 15,957, 23,935.50 and 4,269.92

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Solution

The fourth proportional to 15,957, 23,935.50 and 4,269.92 is: 6,404.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,957 : 23,935.50 = 4,269.92 : x
  2. Step 2: Convert to fraction form
    15,957/23,935.50 = 4,269.92/x
  3. Step 3: Cross multiply
    15,957x = 23,935.50 × 4,269.92
  4. Step 4: Simplify right side
    15,957x = 102,202,550.48
  5. Step 5: Solve for x
    x = 102,202,550.48/15,957
  6. Step 6: Final answer
    x = 6,404.87

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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.