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Finding the Fourth Proportional to 6,676.91, 9,214.09 and 3,692.63

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Solution

The fourth proportional to 6,676.91, 9,214.09 and 3,692.63 is: 5,095.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.91 : 9,214.09 = 3,692.63 : x
  2. Step 2: Convert to fraction form
    6,676.91/9,214.09 = 3,692.63/x
  3. Step 3: Cross multiply
    6,676.91x = 9,214.09 × 3,692.63
  4. Step 4: Simplify right side
    6,676.91x = 34,024,238.96
  5. Step 5: Solve for x
    x = 34,024,238.96/6,676.91
  6. Step 6: Final answer
    x = 5,095.81

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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.