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Finding the Fourth Proportional to 10,175.25, 15,264.40 and 3,601.50

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Solution

The fourth proportional to 10,175.25, 15,264.40 and 3,601.50 is: 5,402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.25 : 15,264.40 = 3,601.50 : x
  2. Step 2: Convert to fraction form
    10,175.25/15,264.40 = 3,601.50/x
  3. Step 3: Cross multiply
    10,175.25x = 15,264.40 × 3,601.50
  4. Step 4: Simplify right side
    10,175.25x = 54,974,651.27
  5. Step 5: Solve for x
    x = 54,974,651.27/10,175.25
  6. Step 6: Final answer
    x = 5,402.78

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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.