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Finding the Fourth Proportional to 6,379.65, 9,565.82 and 3,414.44

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Solution

The fourth proportional to 6,379.65, 9,565.82 and 3,414.44 is: 5,119.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.65 : 9,565.82 = 3,414.44 : x
  2. Step 2: Convert to fraction form
    6,379.65/9,565.82 = 3,414.44/x
  3. Step 3: Cross multiply
    6,379.65x = 9,565.82 × 3,414.44
  4. Step 4: Simplify right side
    6,379.65x = 32,661,853.54
  5. Step 5: Solve for x
    x = 32,661,853.54/6,379.65
  6. Step 6: Final answer
    x = 5,119.69

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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.