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Finding the Fourth Proportional to 7,157.75, 10,735.25 and 2,227.44

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Solution

The fourth proportional to 7,157.75, 10,735.25 and 2,227.44 is: 3,340.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.75 : 10,735.25 = 2,227.44 : x
  2. Step 2: Convert to fraction form
    7,157.75/10,735.25 = 2,227.44/x
  3. Step 3: Cross multiply
    7,157.75x = 10,735.25 × 2,227.44
  4. Step 4: Simplify right side
    7,157.75x = 23,912,114.12
  5. Step 5: Solve for x
    x = 23,912,114.12/7,157.75
  6. Step 6: Final answer
    x = 3,340.73

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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.