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Finding the Fourth Proportional to 10,496.75, 15,745.13 and 3,474.87

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Solution

The fourth proportional to 10,496.75, 15,745.13 and 3,474.87 is: 5,212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.75 : 15,745.13 = 3,474.87 : x
  2. Step 2: Convert to fraction form
    10,496.75/15,745.13 = 3,474.87/x
  3. Step 3: Cross multiply
    10,496.75x = 15,745.13 × 3,474.87
  4. Step 4: Simplify right side
    10,496.75x = 54,712,279.88
  5. Step 5: Solve for x
    x = 54,712,279.88/10,496.75
  6. Step 6: Final answer
    x = 5,212.31

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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.