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Finding the Fourth Proportional to 6,497.50, 8,966.55 and 3,553.50

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Solution

The fourth proportional to 6,497.50, 8,966.55 and 3,553.50 is: 4,903.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.50 : 8,966.55 = 3,553.50 : x
  2. Step 2: Convert to fraction form
    6,497.50/8,966.55 = 3,553.50/x
  3. Step 3: Cross multiply
    6,497.50x = 8,966.55 × 3,553.50
  4. Step 4: Simplify right side
    6,497.50x = 31,862,635.43
  5. Step 5: Solve for x
    x = 31,862,635.43/6,497.50
  6. Step 6: Final answer
    x = 4,903.83

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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.