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Finding the Fourth Proportional to 6,676.61, 9,214.12 and 3,692.38

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Solution

The fourth proportional to 6,676.61, 9,214.12 and 3,692.38 is: 5,095.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.61 : 9,214.12 = 3,692.38 : x
  2. Step 2: Convert to fraction form
    6,676.61/9,214.12 = 3,692.38/x
  3. Step 3: Cross multiply
    6,676.61x = 9,214.12 × 3,692.38
  4. Step 4: Simplify right side
    6,676.61x = 34,022,000.14
  5. Step 5: Solve for x
    x = 34,022,000.14/6,676.61
  6. Step 6: Final answer
    x = 5,095.70

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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.