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Finding the Fourth Proportional to 8,098.86, 12,149.09 and 2,255.47

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Solution

The fourth proportional to 8,098.86, 12,149.09 and 2,255.47 is: 3,383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.86 : 12,149.09 = 2,255.47 : x
  2. Step 2: Convert to fraction form
    8,098.86/12,149.09 = 2,255.47/x
  3. Step 3: Cross multiply
    8,098.86x = 12,149.09 × 2,255.47
  4. Step 4: Simplify right side
    8,098.86x = 27,401,908.02
  5. Step 5: Solve for x
    x = 27,401,908.02/8,098.86
  6. Step 6: Final answer
    x = 3,383.43

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1.5x scale

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.