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Finding the Fourth Proportional to 10,273.74, 14,163.03 and 6,910.62

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Solution

The fourth proportional to 10,273.74, 14,163.03 and 6,910.62 is: 9,526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.74 : 14,163.03 = 6,910.62 : x
  2. Step 2: Convert to fraction form
    10,273.74/14,163.03 = 6,910.62/x
  3. Step 3: Cross multiply
    10,273.74x = 14,163.03 × 6,910.62
  4. Step 4: Simplify right side
    10,273.74x = 97,875,318.38
  5. Step 5: Solve for x
    x = 97,875,318.38/10,273.74
  6. Step 6: Final answer
    x = 9,526.75

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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.