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Finding the Fourth Proportional to 11,957, 17,936.46 and 3,749

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Solution

The fourth proportional to 11,957, 17,936.46 and 3,749 is: 5,623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957 : 17,936.46 = 3,749 : x
  2. Step 2: Convert to fraction form
    11,957/17,936.46 = 3,749/x
  3. Step 3: Cross multiply
    11,957x = 17,936.46 × 3,749
  4. Step 4: Simplify right side
    11,957x = 67,243,788.54
  5. Step 5: Solve for x
    x = 67,243,788.54/11,957
  6. Step 6: Final answer
    x = 5,623.80

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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.