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Finding the Fourth Proportional to 8,223.22, 12,334.84 and 2,067.22

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Solution

The fourth proportional to 8,223.22, 12,334.84 and 2,067.22 is: 3,100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.22 : 12,334.84 = 2,067.22 : x
  2. Step 2: Convert to fraction form
    8,223.22/12,334.84 = 2,067.22/x
  3. Step 3: Cross multiply
    8,223.22x = 12,334.84 × 2,067.22
  4. Step 4: Simplify right side
    8,223.22x = 25,498,827.94
  5. Step 5: Solve for x
    x = 25,498,827.94/8,223.22
  6. Step 6: Final answer
    x = 3,100.83

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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.