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Finding the Fourth Proportional to 6,197.69, 9,292.49 and 2,248.21

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Solution

The fourth proportional to 6,197.69, 9,292.49 and 2,248.21 is: 3,370.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.69 : 9,292.49 = 2,248.21 : x
  2. Step 2: Convert to fraction form
    6,197.69/9,292.49 = 2,248.21/x
  3. Step 3: Cross multiply
    6,197.69x = 9,292.49 × 2,248.21
  4. Step 4: Simplify right side
    6,197.69x = 20,891,468.94
  5. Step 5: Solve for x
    x = 20,891,468.94/6,197.69
  6. Step 6: Final answer
    x = 3,370.85

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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.