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Finding the Fourth Proportional to 10,644.82, 15,961.80 and 6,203.89

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Solution

The fourth proportional to 10,644.82, 15,961.80 and 6,203.89 is: 9,302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.82 : 15,961.80 = 6,203.89 : x
  2. Step 2: Convert to fraction form
    10,644.82/15,961.80 = 6,203.89/x
  3. Step 3: Cross multiply
    10,644.82x = 15,961.80 × 6,203.89
  4. Step 4: Simplify right side
    10,644.82x = 99,025,294.62
  5. Step 5: Solve for x
    x = 99,025,294.62/10,644.82
  6. Step 6: Final answer
    x = 9,302.68

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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.