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Finding the Fourth Proportional to 6,497.27, 8,965.95 and 3,665.22

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Solution

The fourth proportional to 6,497.27, 8,965.95 and 3,665.22 is: 5,057.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.27 : 8,965.95 = 3,665.22 : x
  2. Step 2: Convert to fraction form
    6,497.27/8,965.95 = 3,665.22/x
  3. Step 3: Cross multiply
    6,497.27x = 8,965.95 × 3,665.22
  4. Step 4: Simplify right side
    6,497.27x = 32,862,179.26
  5. Step 5: Solve for x
    x = 32,862,179.26/6,497.27
  6. Step 6: Final answer
    x = 5,057.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.