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Finding the Fourth Proportional to 11,761.81, 17,645.81 and 6,826.73

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Solution

The fourth proportional to 11,761.81, 17,645.81 and 6,826.73 is: 10,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.81 : 17,645.81 = 6,826.73 : x
  2. Step 2: Convert to fraction form
    11,761.81/17,645.81 = 6,826.73/x
  3. Step 3: Cross multiply
    11,761.81x = 17,645.81 × 6,826.73
  4. Step 4: Simplify right side
    11,761.81x = 120,463,058.14
  5. Step 5: Solve for x
    x = 120,463,058.14/11,761.81
  6. Step 6: Final answer
    x = 10,241.88

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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.