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Finding the Fourth Proportional to 6,522.31, 9,787.56 and 3,754.41

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Solution

The fourth proportional to 6,522.31, 9,787.56 and 3,754.41 is: 5,633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.31 : 9,787.56 = 3,754.41 : x
  2. Step 2: Convert to fraction form
    6,522.31/9,787.56 = 3,754.41/x
  3. Step 3: Cross multiply
    6,522.31x = 9,787.56 × 3,754.41
  4. Step 4: Simplify right side
    6,522.31x = 36,746,464.20
  5. Step 5: Solve for x
    x = 36,746,464.20/6,522.31
  6. Step 6: Final answer
    x = 5,633.96

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1.5x scale

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.