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Finding the Fourth Proportional to 8,922, 13,383 and 2,766.48

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Solution

The fourth proportional to 8,922, 13,383 and 2,766.48 is: 4,149.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922 : 13,383 = 2,766.48 : x
  2. Step 2: Convert to fraction form
    8,922/13,383 = 2,766.48/x
  3. Step 3: Cross multiply
    8,922x = 13,383 × 2,766.48
  4. Step 4: Simplify right side
    8,922x = 37,023,801.84
  5. Step 5: Solve for x
    x = 37,023,801.84/8,922
  6. Step 6: Final answer
    x = 4,149.72

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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.