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Finding the Fourth Proportional to 10,958.69, 16,418.90 and 9,121.61

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Solution

The fourth proportional to 10,958.69, 16,418.90 and 9,121.61 is: 13,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,958.69 : 16,418.90 = 9,121.61 : x
  2. Step 2: Convert to fraction form
    10,958.69/16,418.90 = 9,121.61/x
  3. Step 3: Cross multiply
    10,958.69x = 16,418.90 × 9,121.61
  4. Step 4: Simplify right side
    10,958.69x = 149,766,866.28
  5. Step 5: Solve for x
    x = 149,766,866.28/10,958.69
  6. Step 6: Final answer
    x = 13,666.49

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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.