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Finding the Fourth Proportional to 11,981.88, 17,973 and 4,190.94

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Solution

The fourth proportional to 11,981.88, 17,973 and 4,190.94 is: 6,286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,981.88 : 17,973 = 4,190.94 : x
  2. Step 2: Convert to fraction form
    11,981.88/17,973 = 4,190.94/x
  3. Step 3: Cross multiply
    11,981.88x = 17,973 × 4,190.94
  4. Step 4: Simplify right side
    11,981.88x = 75,323,764.62
  5. Step 5: Solve for x
    x = 75,323,764.62/11,981.88
  6. Step 6: Final answer
    x = 6,286.47

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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.