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Finding the Fourth Proportional to 5,542.89, 7,650.13 and 5,293.77

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Solution

The fourth proportional to 5,542.89, 7,650.13 and 5,293.77 is: 7,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.89 : 7,650.13 = 5,293.77 : x
  2. Step 2: Convert to fraction form
    5,542.89/7,650.13 = 5,293.77/x
  3. Step 3: Cross multiply
    5,542.89x = 7,650.13 × 5,293.77
  4. Step 4: Simplify right side
    5,542.89x = 40,498,028.69
  5. Step 5: Solve for x
    x = 40,498,028.69/5,542.89
  6. Step 6: Final answer
    x = 7,306.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.