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Finding the Fourth Proportional to 8,138.87, 12,209.20 and 2,590.92

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Solution

The fourth proportional to 8,138.87, 12,209.20 and 2,590.92 is: 3,886.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.87 : 12,209.20 = 2,590.92 : x
  2. Step 2: Convert to fraction form
    8,138.87/12,209.20 = 2,590.92/x
  3. Step 3: Cross multiply
    8,138.87x = 12,209.20 × 2,590.92
  4. Step 4: Simplify right side
    8,138.87x = 31,633,013.41
  5. Step 5: Solve for x
    x = 31,633,013.41/8,138.87
  6. Step 6: Final answer
    x = 3,886.66

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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.