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Finding the Fourth Proportional to 13,927.49, 20,893.19 and 4,067.49

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Solution

The fourth proportional to 13,927.49, 20,893.19 and 4,067.49 is: 6,101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,927.49 : 20,893.19 = 4,067.49 : x
  2. Step 2: Convert to fraction form
    13,927.49/20,893.19 = 4,067.49/x
  3. Step 3: Cross multiply
    13,927.49x = 20,893.19 × 4,067.49
  4. Step 4: Simplify right side
    13,927.49x = 84,982,841.39
  5. Step 5: Solve for x
    x = 84,982,841.39/13,927.49
  6. Step 6: Final answer
    x = 6,101.81

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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.