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Finding the Fourth Proportional to 6,320.50, 9,481.65 and 3,358.17

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Solution

The fourth proportional to 6,320.50, 9,481.65 and 3,358.17 is: 5,037.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.50 : 9,481.65 = 3,358.17 : x
  2. Step 2: Convert to fraction form
    6,320.50/9,481.65 = 3,358.17/x
  3. Step 3: Cross multiply
    6,320.50x = 9,481.65 × 3,358.17
  4. Step 4: Simplify right side
    6,320.50x = 31,841,009.85
  5. Step 5: Solve for x
    x = 31,841,009.85/6,320.50
  6. Step 6: Final answer
    x = 5,037.73

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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.