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Finding the Fourth Proportional to 4,974.38, 7,463.60 and 3,197.43

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Solution

The fourth proportional to 4,974.38, 7,463.60 and 3,197.43 is: 4,797.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.38 : 7,463.60 = 3,197.43 : x
  2. Step 2: Convert to fraction form
    4,974.38/7,463.60 = 3,197.43/x
  3. Step 3: Cross multiply
    4,974.38x = 7,463.60 × 3,197.43
  4. Step 4: Simplify right side
    4,974.38x = 23,864,322.56
  5. Step 5: Solve for x
    x = 23,864,322.56/4,974.38
  6. Step 6: Final answer
    x = 4,797.44

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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.