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Finding the Fourth Proportional to 6,002.80, 9,005 and 1,843.09

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Solution

The fourth proportional to 6,002.80, 9,005 and 1,843.09 is: 2,764.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.80 : 9,005 = 1,843.09 : x
  2. Step 2: Convert to fraction form
    6,002.80/9,005 = 1,843.09/x
  3. Step 3: Cross multiply
    6,002.80x = 9,005 × 1,843.09
  4. Step 4: Simplify right side
    6,002.80x = 16,597,025.45
  5. Step 5: Solve for x
    x = 16,597,025.45/6,002.80
  6. Step 6: Final answer
    x = 2,764.88

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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.