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Finding the Fourth Proportional to 3,414.83, 5,122.22 and 949.66

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Solution

The fourth proportional to 3,414.83, 5,122.22 and 949.66 is: 1,424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.83 : 5,122.22 = 949.66 : x
  2. Step 2: Convert to fraction form
    3,414.83/5,122.22 = 949.66/x
  3. Step 3: Cross multiply
    3,414.83x = 5,122.22 × 949.66
  4. Step 4: Simplify right side
    3,414.83x = 4,864,349.89
  5. Step 5: Solve for x
    x = 4,864,349.89/3,414.83
  6. Step 6: Final answer
    x = 1,424.48

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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.