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Finding the Fourth Proportional to 9,981.97, 13,768.21 and 8,093.63

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Solution

The fourth proportional to 9,981.97, 13,768.21 and 8,093.63 is: 11,163.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.97 : 13,768.21 = 8,093.63 : x
  2. Step 2: Convert to fraction form
    9,981.97/13,768.21 = 8,093.63/x
  3. Step 3: Cross multiply
    9,981.97x = 13,768.21 × 8,093.63
  4. Step 4: Simplify right side
    9,981.97x = 111,434,744.88
  5. Step 5: Solve for x
    x = 111,434,744.88/9,981.97
  6. Step 6: Final answer
    x = 11,163.61

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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.