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Finding the Fourth Proportional to 10,270.35, 14,174.07 and 6,493.68

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Solution

The fourth proportional to 10,270.35, 14,174.07 and 6,493.68 is: 8,961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.35 : 14,174.07 = 6,493.68 : x
  2. Step 2: Convert to fraction form
    10,270.35/14,174.07 = 6,493.68/x
  3. Step 3: Cross multiply
    10,270.35x = 14,174.07 × 6,493.68
  4. Step 4: Simplify right side
    10,270.35x = 92,041,874.88
  5. Step 5: Solve for x
    x = 92,041,874.88/10,270.35
  6. Step 6: Final answer
    x = 8,961.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.