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Finding the Fourth Proportional to 7,182.86, 10,772.72 and 2,251.85

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Solution

The fourth proportional to 7,182.86, 10,772.72 and 2,251.85 is: 3,377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.86 : 10,772.72 = 2,251.85 : x
  2. Step 2: Convert to fraction form
    7,182.86/10,772.72 = 2,251.85/x
  3. Step 3: Cross multiply
    7,182.86x = 10,772.72 × 2,251.85
  4. Step 4: Simplify right side
    7,182.86x = 24,258,484.41
  5. Step 5: Solve for x
    x = 24,258,484.41/7,182.86
  6. Step 6: Final answer
    x = 3,377.28

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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.