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Finding the Fourth Proportional to 6,355.62, 9,532.26 and 2,656.87

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Solution

The fourth proportional to 6,355.62, 9,532.26 and 2,656.87 is: 3,984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.62 : 9,532.26 = 2,656.87 : x
  2. Step 2: Convert to fraction form
    6,355.62/9,532.26 = 2,656.87/x
  3. Step 3: Cross multiply
    6,355.62x = 9,532.26 × 2,656.87
  4. Step 4: Simplify right side
    6,355.62x = 25,325,951.80
  5. Step 5: Solve for x
    x = 25,325,951.80/6,355.62
  6. Step 6: Final answer
    x = 3,984.81

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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.