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Finding the Fourth Proportional to 3,142.44, 4,713.12 and 950.85

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Solution

The fourth proportional to 3,142.44, 4,713.12 and 950.85 is: 1,426.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.44 : 4,713.12 = 950.85 : x
  2. Step 2: Convert to fraction form
    3,142.44/4,713.12 = 950.85/x
  3. Step 3: Cross multiply
    3,142.44x = 4,713.12 × 950.85
  4. Step 4: Simplify right side
    3,142.44x = 4,481,470.15
  5. Step 5: Solve for x
    x = 4,481,470.15/3,142.44
  6. Step 6: Final answer
    x = 1,426.11

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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.