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Finding the Fourth Proportional to 4,906.96, 7,361.17 and 2,274.73

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Solution

The fourth proportional to 4,906.96, 7,361.17 and 2,274.73 is: 3,412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.96 : 7,361.17 = 2,274.73 : x
  2. Step 2: Convert to fraction form
    4,906.96/7,361.17 = 2,274.73/x
  3. Step 3: Cross multiply
    4,906.96x = 7,361.17 × 2,274.73
  4. Step 4: Simplify right side
    4,906.96x = 16,744,702.75
  5. Step 5: Solve for x
    x = 16,744,702.75/4,906.96
  6. Step 6: Final answer
    x = 3,412.44

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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.