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Finding the Fourth Proportional to 9,992.98, 13,792.20 and 6,217.84

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Solution

The fourth proportional to 9,992.98, 13,792.20 and 6,217.84 is: 8,581.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.98 : 13,792.20 = 6,217.84 : x
  2. Step 2: Convert to fraction form
    9,992.98/13,792.20 = 6,217.84/x
  3. Step 3: Cross multiply
    9,992.98x = 13,792.20 × 6,217.84
  4. Step 4: Simplify right side
    9,992.98x = 85,757,692.85
  5. Step 5: Solve for x
    x = 85,757,692.85/9,992.98
  6. Step 6: Final answer
    x = 8,581.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.