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Finding the Fourth Proportional to 6,487.44, 9,732.64 and 3,564.96

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Solution

The fourth proportional to 6,487.44, 9,732.64 and 3,564.96 is: 5,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.44 : 9,732.64 = 3,564.96 : x
  2. Step 2: Convert to fraction form
    6,487.44/9,732.64 = 3,564.96/x
  3. Step 3: Cross multiply
    6,487.44x = 9,732.64 × 3,564.96
  4. Step 4: Simplify right side
    6,487.44x = 34,696,472.29
  5. Step 5: Solve for x
    x = 34,696,472.29/6,487.44
  6. Step 6: Final answer
    x = 5,348.25

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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.