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Finding the Fourth Proportional to 6,529, 9,793.50 and 1,665

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Solution

The fourth proportional to 6,529, 9,793.50 and 1,665 is: 2,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529 : 9,793.50 = 1,665 : x
  2. Step 2: Convert to fraction form
    6,529/9,793.50 = 1,665/x
  3. Step 3: Cross multiply
    6,529x = 9,793.50 × 1,665
  4. Step 4: Simplify right side
    6,529x = 16,306,177.50
  5. Step 5: Solve for x
    x = 16,306,177.50/6,529
  6. Step 6: Final answer
    x = 2,497.50

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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.