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Finding the Fourth Proportional to 6,481.47, 8,944.66 and 3,648.85

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Solution

The fourth proportional to 6,481.47, 8,944.66 and 3,648.85 is: 5,035.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.47 : 8,944.66 = 3,648.85 : x
  2. Step 2: Convert to fraction form
    6,481.47/8,944.66 = 3,648.85/x
  3. Step 3: Cross multiply
    6,481.47x = 8,944.66 × 3,648.85
  4. Step 4: Simplify right side
    6,481.47x = 32,637,704.84
  5. Step 5: Solve for x
    x = 32,637,704.84/6,481.47
  6. Step 6: Final answer
    x = 5,035.54

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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.