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Finding the Fourth Proportional to 6,481.62, 9,722.79 and 1,864.50

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Solution

The fourth proportional to 6,481.62, 9,722.79 and 1,864.50 is: 2,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.62 : 9,722.79 = 1,864.50 : x
  2. Step 2: Convert to fraction form
    6,481.62/9,722.79 = 1,864.50/x
  3. Step 3: Cross multiply
    6,481.62x = 9,722.79 × 1,864.50
  4. Step 4: Simplify right side
    6,481.62x = 18,128,141.96
  5. Step 5: Solve for x
    x = 18,128,141.96/6,481.62
  6. Step 6: Final answer
    x = 2,796.85

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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.