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Finding the Fourth Proportional to 6,462.96, 9,692.38 and 2,079.39

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Solution

The fourth proportional to 6,462.96, 9,692.38 and 2,079.39 is: 3,118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.96 : 9,692.38 = 2,079.39 : x
  2. Step 2: Convert to fraction form
    6,462.96/9,692.38 = 2,079.39/x
  3. Step 3: Cross multiply
    6,462.96x = 9,692.38 × 2,079.39
  4. Step 4: Simplify right side
    6,462.96x = 20,154,238.05
  5. Step 5: Solve for x
    x = 20,154,238.05/6,462.96
  6. Step 6: Final answer
    x = 3,118.42

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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.