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Finding the Fourth Proportional to 9,981.82, 13,775 and 5,505.73

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Solution

The fourth proportional to 9,981.82, 13,775 and 5,505.73 is: 7,597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.82 : 13,775 = 5,505.73 : x
  2. Step 2: Convert to fraction form
    9,981.82/13,775 = 5,505.73/x
  3. Step 3: Cross multiply
    9,981.82x = 13,775 × 5,505.73
  4. Step 4: Simplify right side
    9,981.82x = 75,841,361.88
  5. Step 5: Solve for x
    x = 75,841,361.88/9,981.82
  6. Step 6: Final answer
    x = 7,597.95

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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.