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Finding the Fourth Proportional to 6,447.80, 9,672.42 and 2,286.92

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Solution

The fourth proportional to 6,447.80, 9,672.42 and 2,286.92 is: 3,430.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.80 : 9,672.42 = 2,286.92 : x
  2. Step 2: Convert to fraction form
    6,447.80/9,672.42 = 2,286.92/x
  3. Step 3: Cross multiply
    6,447.80x = 9,672.42 × 2,286.92
  4. Step 4: Simplify right side
    6,447.80x = 22,120,050.75
  5. Step 5: Solve for x
    x = 22,120,050.75/6,447.80
  6. Step 6: Final answer
    x = 3,430.64

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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.