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Finding the Fourth Proportional to 8,098, 12,147.16 and 2,626

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Solution

The fourth proportional to 8,098, 12,147.16 and 2,626 is: 3,939.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098 : 12,147.16 = 2,626 : x
  2. Step 2: Convert to fraction form
    8,098/12,147.16 = 2,626/x
  3. Step 3: Cross multiply
    8,098x = 12,147.16 × 2,626
  4. Step 4: Simplify right side
    8,098x = 31,898,442.16
  5. Step 5: Solve for x
    x = 31,898,442.16/8,098
  6. Step 6: Final answer
    x = 3,939.05

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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.