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Finding the Fourth Proportional to 5,472.71, 8,209.87 and 2,009.69

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Solution

The fourth proportional to 5,472.71, 8,209.87 and 2,009.69 is: 3,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.71 : 8,209.87 = 2,009.69 : x
  2. Step 2: Convert to fraction form
    5,472.71/8,209.87 = 2,009.69/x
  3. Step 3: Cross multiply
    5,472.71x = 8,209.87 × 2,009.69
  4. Step 4: Simplify right side
    5,472.71x = 16,499,278.14
  5. Step 5: Solve for x
    x = 16,499,278.14/5,472.71
  6. Step 6: Final answer
    x = 3,014.83

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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.