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Finding the Fourth Proportional to 6,113.70, 9,170.24 and 2,163.74

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Solution

The fourth proportional to 6,113.70, 9,170.24 and 2,163.74 is: 3,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.70 : 9,170.24 = 2,163.74 : x
  2. Step 2: Convert to fraction form
    6,113.70/9,170.24 = 2,163.74/x
  3. Step 3: Cross multiply
    6,113.70x = 9,170.24 × 2,163.74
  4. Step 4: Simplify right side
    6,113.70x = 19,841,958.43
  5. Step 5: Solve for x
    x = 19,841,958.43/6,113.70
  6. Step 6: Final answer
    x = 3,245.49

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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.