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Finding the Fourth Proportional to 6,564.52, 9,853.46 and 3,279.97

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Solution

The fourth proportional to 6,564.52, 9,853.46 and 3,279.97 is: 4,923.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.52 : 9,853.46 = 3,279.97 : x
  2. Step 2: Convert to fraction form
    6,564.52/9,853.46 = 3,279.97/x
  3. Step 3: Cross multiply
    6,564.52x = 9,853.46 × 3,279.97
  4. Step 4: Simplify right side
    6,564.52x = 32,318,987.53
  5. Step 5: Solve for x
    x = 32,318,987.53/6,564.52
  6. Step 6: Final answer
    x = 4,923.29

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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.