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Finding the Fourth Proportional to 11,840.92, 17,761.83 and 3,944.14

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Solution

The fourth proportional to 11,840.92, 17,761.83 and 3,944.14 is: 5,916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.92 : 17,761.83 = 3,944.14 : x
  2. Step 2: Convert to fraction form
    11,840.92/17,761.83 = 3,944.14/x
  3. Step 3: Cross multiply
    11,840.92x = 17,761.83 × 3,944.14
  4. Step 4: Simplify right side
    11,840.92x = 70,055,144.18
  5. Step 5: Solve for x
    x = 70,055,144.18/11,840.92
  6. Step 6: Final answer
    x = 5,916.36

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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.