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Finding the Fourth Proportional to 6,562.32, 9,841 and 2,665.40

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Solution

The fourth proportional to 6,562.32, 9,841 and 2,665.40 is: 3,997.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.32 : 9,841 = 2,665.40 : x
  2. Step 2: Convert to fraction form
    6,562.32/9,841 = 2,665.40/x
  3. Step 3: Cross multiply
    6,562.32x = 9,841 × 2,665.40
  4. Step 4: Simplify right side
    6,562.32x = 26,230,201.40
  5. Step 5: Solve for x
    x = 26,230,201.40/6,562.32
  6. Step 6: Final answer
    x = 3,997.09

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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.