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Finding the Fourth Proportional to 6,954, 10,434.68 and 3,793.72

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Solution

The fourth proportional to 6,954, 10,434.68 and 3,793.72 is: 5,692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954 : 10,434.68 = 3,793.72 : x
  2. Step 2: Convert to fraction form
    6,954/10,434.68 = 3,793.72/x
  3. Step 3: Cross multiply
    6,954x = 10,434.68 × 3,793.72
  4. Step 4: Simplify right side
    6,954x = 39,586,254.21
  5. Step 5: Solve for x
    x = 39,586,254.21/6,954
  6. Step 6: Final answer
    x = 5,692.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.