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Finding the Fourth Proportional to 6,414.06, 8,851.55 and 4,024.13

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Solution

The fourth proportional to 6,414.06, 8,851.55 and 4,024.13 is: 5,553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.06 : 8,851.55 = 4,024.13 : x
  2. Step 2: Convert to fraction form
    6,414.06/8,851.55 = 4,024.13/x
  3. Step 3: Cross multiply
    6,414.06x = 8,851.55 × 4,024.13
  4. Step 4: Simplify right side
    6,414.06x = 35,619,787.90
  5. Step 5: Solve for x
    x = 35,619,787.90/6,414.06
  6. Step 6: Final answer
    x = 5,553.39

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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.