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Finding the Fourth Proportional to 8,098.44, 12,147.82 and 2,254.98

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Solution

The fourth proportional to 8,098.44, 12,147.82 and 2,254.98 is: 3,382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.44 : 12,147.82 = 2,254.98 : x
  2. Step 2: Convert to fraction form
    8,098.44/12,147.82 = 2,254.98/x
  3. Step 3: Cross multiply
    8,098.44x = 12,147.82 × 2,254.98
  4. Step 4: Simplify right side
    8,098.44x = 27,393,091.14
  5. Step 5: Solve for x
    x = 27,393,091.14/8,098.44
  6. Step 6: Final answer
    x = 3,382.51

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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.