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Finding the Fourth Proportional to 6,562.62, 9,844.74 and 2,666.52

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Solution

The fourth proportional to 6,562.62, 9,844.74 and 2,666.52 is: 4,000.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.62 : 9,844.74 = 2,666.52 : x
  2. Step 2: Convert to fraction form
    6,562.62/9,844.74 = 2,666.52/x
  3. Step 3: Cross multiply
    6,562.62x = 9,844.74 × 2,666.52
  4. Step 4: Simplify right side
    6,562.62x = 26,251,196.10
  5. Step 5: Solve for x
    x = 26,251,196.10/6,562.62
  6. Step 6: Final answer
    x = 4,000.11

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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.