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Finding the Fourth Proportional to 6,522.90, 9,787.14 and 3,405.24

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Solution

The fourth proportional to 6,522.90, 9,787.14 and 3,405.24 is: 5,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.90 : 9,787.14 = 3,405.24 : x
  2. Step 2: Convert to fraction form
    6,522.90/9,787.14 = 3,405.24/x
  3. Step 3: Cross multiply
    6,522.90x = 9,787.14 × 3,405.24
  4. Step 4: Simplify right side
    6,522.90x = 33,327,560.61
  5. Step 5: Solve for x
    x = 33,327,560.61/6,522.90
  6. Step 6: Final answer
    x = 5,109.32

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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.