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Finding the Fourth Proportional to 6,257.56, 9,375.80 and 4,405.40

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Solution

The fourth proportional to 6,257.56, 9,375.80 and 4,405.40 is: 6,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.56 : 9,375.80 = 4,405.40 : x
  2. Step 2: Convert to fraction form
    6,257.56/9,375.80 = 4,405.40/x
  3. Step 3: Cross multiply
    6,257.56x = 9,375.80 × 4,405.40
  4. Step 4: Simplify right side
    6,257.56x = 41,304,149.32
  5. Step 5: Solve for x
    x = 41,304,149.32/6,257.56
  6. Step 6: Final answer
    x = 6,600.68

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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.