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Finding the Fourth Proportional to 10,362, 15,542.92 and 6,203.17

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Solution

The fourth proportional to 10,362, 15,542.92 and 6,203.17 is: 9,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362 : 15,542.92 = 6,203.17 : x
  2. Step 2: Convert to fraction form
    10,362/15,542.92 = 6,203.17/x
  3. Step 3: Cross multiply
    10,362x = 15,542.92 × 6,203.17
  4. Step 4: Simplify right side
    10,362x = 96,415,375.06
  5. Step 5: Solve for x
    x = 96,415,375.06/10,362
  6. Step 6: Final answer
    x = 9,304.71

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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.