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Finding the Fourth Proportional to 6,615.38, 9,127.94 and 4,257.20

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Solution

The fourth proportional to 6,615.38, 9,127.94 and 4,257.20 is: 5,874.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.38 : 9,127.94 = 4,257.20 : x
  2. Step 2: Convert to fraction form
    6,615.38/9,127.94 = 4,257.20/x
  3. Step 3: Cross multiply
    6,615.38x = 9,127.94 × 4,257.20
  4. Step 4: Simplify right side
    6,615.38x = 38,859,466.17
  5. Step 5: Solve for x
    x = 38,859,466.17/6,615.38
  6. Step 6: Final answer
    x = 5,874.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.