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Finding the Fourth Proportional to 7,182.71, 10,771.97 and 2,799.12

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Solution

The fourth proportional to 7,182.71, 10,771.97 and 2,799.12 is: 4,197.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.71 : 10,771.97 = 2,799.12 : x
  2. Step 2: Convert to fraction form
    7,182.71/10,771.97 = 2,799.12/x
  3. Step 3: Cross multiply
    7,182.71x = 10,771.97 × 2,799.12
  4. Step 4: Simplify right side
    7,182.71x = 30,152,022.67
  5. Step 5: Solve for x
    x = 30,152,022.67/7,182.71
  6. Step 6: Final answer
    x = 4,197.86

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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.