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Finding the Fourth Proportional to 6,553.78, 9,821.10 and 3,044.86

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Solution

The fourth proportional to 6,553.78, 9,821.10 and 3,044.86 is: 4,562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.78 : 9,821.10 = 3,044.86 : x
  2. Step 2: Convert to fraction form
    6,553.78/9,821.10 = 3,044.86/x
  3. Step 3: Cross multiply
    6,553.78x = 9,821.10 × 3,044.86
  4. Step 4: Simplify right side
    6,553.78x = 29,903,874.55
  5. Step 5: Solve for x
    x = 29,903,874.55/6,553.78
  6. Step 6: Final answer
    x = 4,562.84

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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.