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Finding the Fourth Proportional to 5,500, 8,249.84 and 1,551.52

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Solution

The fourth proportional to 5,500, 8,249.84 and 1,551.52 is: 2,327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,500 : 8,249.84 = 1,551.52 : x
  2. Step 2: Convert to fraction form
    5,500/8,249.84 = 1,551.52/x
  3. Step 3: Cross multiply
    5,500x = 8,249.84 × 1,551.52
  4. Step 4: Simplify right side
    5,500x = 12,799,791.76
  5. Step 5: Solve for x
    x = 12,799,791.76/5,500
  6. Step 6: Final answer
    x = 2,327.23

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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.