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Finding the Fourth Proportional to 6,531.44, 9,798.24 and 3,244.64

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Solution

The fourth proportional to 6,531.44, 9,798.24 and 3,244.64 is: 4,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.44 : 9,798.24 = 3,244.64 : x
  2. Step 2: Convert to fraction form
    6,531.44/9,798.24 = 3,244.64/x
  3. Step 3: Cross multiply
    6,531.44x = 9,798.24 × 3,244.64
  4. Step 4: Simplify right side
    6,531.44x = 31,791,761.43
  5. Step 5: Solve for x
    x = 31,791,761.43/6,531.44
  6. Step 6: Final answer
    x = 4,867.50

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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.