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Finding the Fourth Proportional to 3,414.96, 5,122.47 and 949.96

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Solution

The fourth proportional to 3,414.96, 5,122.47 and 949.96 is: 1,424.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.96 : 5,122.47 = 949.96 : x
  2. Step 2: Convert to fraction form
    3,414.96/5,122.47 = 949.96/x
  3. Step 3: Cross multiply
    3,414.96x = 5,122.47 × 949.96
  4. Step 4: Simplify right side
    3,414.96x = 4,866,151.57
  5. Step 5: Solve for x
    x = 4,866,151.57/3,414.96
  6. Step 6: Final answer
    x = 1,424.95

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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.