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Finding the Fourth Proportional to 7,134.75, 10,702.11 and 2,204.37

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Solution

The fourth proportional to 7,134.75, 10,702.11 and 2,204.37 is: 3,306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.75 : 10,702.11 = 2,204.37 : x
  2. Step 2: Convert to fraction form
    7,134.75/10,702.11 = 2,204.37/x
  3. Step 3: Cross multiply
    7,134.75x = 10,702.11 × 2,204.37
  4. Step 4: Simplify right side
    7,134.75x = 23,591,410.22
  5. Step 5: Solve for x
    x = 23,591,410.22/7,134.75
  6. Step 6: Final answer
    x = 3,306.55

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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.