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Finding the Fourth Proportional to 6,481.70, 9,723.87 and 3,709.70

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Solution

The fourth proportional to 6,481.70, 9,723.87 and 3,709.70 is: 5,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.70 : 9,723.87 = 3,709.70 : x
  2. Step 2: Convert to fraction form
    6,481.70/9,723.87 = 3,709.70/x
  3. Step 3: Cross multiply
    6,481.70x = 9,723.87 × 3,709.70
  4. Step 4: Simplify right side
    6,481.70x = 36,072,640.54
  5. Step 5: Solve for x
    x = 36,072,640.54/6,481.70
  6. Step 6: Final answer
    x = 5,565.31

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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.