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Finding the Fourth Proportional to 5,648.22, 8,472.33 and 3,114.54

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Solution

The fourth proportional to 5,648.22, 8,472.33 and 3,114.54 is: 4,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.22 : 8,472.33 = 3,114.54 : x
  2. Step 2: Convert to fraction form
    5,648.22/8,472.33 = 3,114.54/x
  3. Step 3: Cross multiply
    5,648.22x = 8,472.33 × 3,114.54
  4. Step 4: Simplify right side
    5,648.22x = 26,387,410.68
  5. Step 5: Solve for x
    x = 26,387,410.68/5,648.22
  6. Step 6: Final answer
    x = 4,671.81

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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.