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Finding the Fourth Proportional to 6,481.62, 8,944.83 and 3,964.14

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Solution

The fourth proportional to 6,481.62, 8,944.83 and 3,964.14 is: 5,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.62 : 8,944.83 = 3,964.14 : x
  2. Step 2: Convert to fraction form
    6,481.62/8,944.83 = 3,964.14/x
  3. Step 3: Cross multiply
    6,481.62x = 8,944.83 × 3,964.14
  4. Step 4: Simplify right side
    6,481.62x = 35,458,558.40
  5. Step 5: Solve for x
    x = 35,458,558.40/6,481.62
  6. Step 6: Final answer
    x = 5,470.63

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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.