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Finding the Fourth Proportional to 6,676.75, 9,213.76 and 3,692.61

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Solution

The fourth proportional to 6,676.75, 9,213.76 and 3,692.61 is: 5,095.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.75 : 9,213.76 = 3,692.61 : x
  2. Step 2: Convert to fraction form
    6,676.75/9,213.76 = 3,692.61/x
  3. Step 3: Cross multiply
    6,676.75x = 9,213.76 × 3,692.61
  4. Step 4: Simplify right side
    6,676.75x = 34,022,822.31
  5. Step 5: Solve for x
    x = 34,022,822.31/6,676.75
  6. Step 6: Final answer
    x = 5,095.72

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Half scale
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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.