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Finding the Fourth Proportional to 6,367.67, 9,550.45 and 1,687.97

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Solution

The fourth proportional to 6,367.67, 9,550.45 and 1,687.97 is: 2,531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.67 : 9,550.45 = 1,687.97 : x
  2. Step 2: Convert to fraction form
    6,367.67/9,550.45 = 1,687.97/x
  3. Step 3: Cross multiply
    6,367.67x = 9,550.45 × 1,687.97
  4. Step 4: Simplify right side
    6,367.67x = 16,120,825.33
  5. Step 5: Solve for x
    x = 16,120,825.33/6,367.67
  6. Step 6: Final answer
    x = 2,531.67

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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.