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Finding the Fourth Proportional to 6,850.46, 10,275.96 and 2,233.46

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Solution

The fourth proportional to 6,850.46, 10,275.96 and 2,233.46 is: 3,350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.46 : 10,275.96 = 2,233.46 : x
  2. Step 2: Convert to fraction form
    6,850.46/10,275.96 = 2,233.46/x
  3. Step 3: Cross multiply
    6,850.46x = 10,275.96 × 2,233.46
  4. Step 4: Simplify right side
    6,850.46x = 22,950,945.62
  5. Step 5: Solve for x
    x = 22,950,945.62/6,850.46
  6. Step 6: Final answer
    x = 3,350.28

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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.