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Finding the Fourth Proportional to 8,800, 13,198.56 and 6,195.04

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Solution

The fourth proportional to 8,800, 13,198.56 and 6,195.04 is: 9,291.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,800 : 13,198.56 = 6,195.04 : x
  2. Step 2: Convert to fraction form
    8,800/13,198.56 = 6,195.04/x
  3. Step 3: Cross multiply
    8,800x = 13,198.56 × 6,195.04
  4. Step 4: Simplify right side
    8,800x = 81,765,607.14
  5. Step 5: Solve for x
    x = 81,765,607.14/8,800
  6. Step 6: Final answer
    x = 9,291.55

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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.