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Finding the Fourth Proportional to 6,584.76, 9,865.62 and 3,843

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Solution

The fourth proportional to 6,584.76, 9,865.62 and 3,843 is: 5,757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.76 : 9,865.62 = 3,843 : x
  2. Step 2: Convert to fraction form
    6,584.76/9,865.62 = 3,843/x
  3. Step 3: Cross multiply
    6,584.76x = 9,865.62 × 3,843
  4. Step 4: Simplify right side
    6,584.76x = 37,913,577.66
  5. Step 5: Solve for x
    x = 37,913,577.66/6,584.76
  6. Step 6: Final answer
    x = 5,757.78

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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.