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Finding the Fourth Proportional to 8,023.82, 11,982.42 and 7,936.94

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Solution

The fourth proportional to 8,023.82, 11,982.42 and 7,936.94 is: 11,852.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.82 : 11,982.42 = 7,936.94 : x
  2. Step 2: Convert to fraction form
    8,023.82/11,982.42 = 7,936.94/x
  3. Step 3: Cross multiply
    8,023.82x = 11,982.42 × 7,936.94
  4. Step 4: Simplify right side
    8,023.82x = 95,103,708.91
  5. Step 5: Solve for x
    x = 95,103,708.91/8,023.82
  6. Step 6: Final answer
    x = 11,852.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.