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Finding the Fourth Proportional to 8,049, 11,103.84 and 5,692.44

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Solution

The fourth proportional to 8,049, 11,103.84 and 5,692.44 is: 7,852.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049 : 11,103.84 = 5,692.44 : x
  2. Step 2: Convert to fraction form
    8,049/11,103.84 = 5,692.44/x
  3. Step 3: Cross multiply
    8,049x = 11,103.84 × 5,692.44
  4. Step 4: Simplify right side
    8,049x = 63,207,942.97
  5. Step 5: Solve for x
    x = 63,207,942.97/8,049
  6. Step 6: Final answer
    x = 7,852.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.