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Finding the Fourth Proportional to 10,569.87, 15,854.85 and 3,174.42

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Solution

The fourth proportional to 10,569.87, 15,854.85 and 3,174.42 is: 4,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.87 : 15,854.85 = 3,174.42 : x
  2. Step 2: Convert to fraction form
    10,569.87/15,854.85 = 3,174.42/x
  3. Step 3: Cross multiply
    10,569.87x = 15,854.85 × 3,174.42
  4. Step 4: Simplify right side
    10,569.87x = 50,329,952.94
  5. Step 5: Solve for x
    x = 50,329,952.94/10,569.87
  6. Step 6: Final answer
    x = 4,761.64

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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.