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Finding the Fourth Proportional to 8,138.92, 12,208.29 and 1,982.92

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Solution

The fourth proportional to 8,138.92, 12,208.29 and 1,982.92 is: 2,974.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.92 : 12,208.29 = 1,982.92 : x
  2. Step 2: Convert to fraction form
    8,138.92/12,208.29 = 1,982.92/x
  3. Step 3: Cross multiply
    8,138.92x = 12,208.29 × 1,982.92
  4. Step 4: Simplify right side
    8,138.92x = 24,208,062.41
  5. Step 5: Solve for x
    x = 24,208,062.41/8,138.92
  6. Step 6: Final answer
    x = 2,974.36

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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.