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Finding the Fourth Proportional to 3,141.72, 4,711.74 and 949.86

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Solution

The fourth proportional to 3,141.72, 4,711.74 and 949.86 is: 1,424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.72 : 4,711.74 = 949.86 : x
  2. Step 2: Convert to fraction form
    3,141.72/4,711.74 = 949.86/x
  3. Step 3: Cross multiply
    3,141.72x = 4,711.74 × 949.86
  4. Step 4: Simplify right side
    3,141.72x = 4,475,493.36
  5. Step 5: Solve for x
    x = 4,475,493.36/3,141.72
  6. Step 6: Final answer
    x = 1,424.54

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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.