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Finding the Fourth Proportional to 6,565.86, 9,850.79 and 3,936.29

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Solution

The fourth proportional to 6,565.86, 9,850.79 and 3,936.29 is: 5,905.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.86 : 9,850.79 = 3,936.29 : x
  2. Step 2: Convert to fraction form
    6,565.86/9,850.79 = 3,936.29/x
  3. Step 3: Cross multiply
    6,565.86x = 9,850.79 × 3,936.29
  4. Step 4: Simplify right side
    6,565.86x = 38,775,497.23
  5. Step 5: Solve for x
    x = 38,775,497.23/6,565.86
  6. Step 6: Final answer
    x = 5,905.62

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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.