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Finding the Fourth Proportional to 6,562.62, 9,829.17 and 3,782.70

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Solution

The fourth proportional to 6,562.62, 9,829.17 and 3,782.70 is: 5,665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.62 : 9,829.17 = 3,782.70 : x
  2. Step 2: Convert to fraction form
    6,562.62/9,829.17 = 3,782.70/x
  3. Step 3: Cross multiply
    6,562.62x = 9,829.17 × 3,782.70
  4. Step 4: Simplify right side
    6,562.62x = 37,180,801.36
  5. Step 5: Solve for x
    x = 37,180,801.36/6,562.62
  6. Step 6: Final answer
    x = 5,665.54

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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.