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Finding the Fourth Proportional to 6,147.97, 8,481.71 and 3,494.81

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Solution

The fourth proportional to 6,147.97, 8,481.71 and 3,494.81 is: 4,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.97 : 8,481.71 = 3,494.81 : x
  2. Step 2: Convert to fraction form
    6,147.97/8,481.71 = 3,494.81/x
  3. Step 3: Cross multiply
    6,147.97x = 8,481.71 × 3,494.81
  4. Step 4: Simplify right side
    6,147.97x = 29,641,994.87
  5. Step 5: Solve for x
    x = 29,641,994.87/6,147.97
  6. Step 6: Final answer
    x = 4,821.43

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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.