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Finding the Fourth Proportional to 10,183.69, 14,048.49 and 6,827.23

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Solution

The fourth proportional to 10,183.69, 14,048.49 and 6,827.23 is: 9,418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,183.69 : 14,048.49 = 6,827.23 : x
  2. Step 2: Convert to fraction form
    10,183.69/14,048.49 = 6,827.23/x
  3. Step 3: Cross multiply
    10,183.69x = 14,048.49 × 6,827.23
  4. Step 4: Simplify right side
    10,183.69x = 95,912,272.38
  5. Step 5: Solve for x
    x = 95,912,272.38/10,183.69
  6. Step 6: Final answer
    x = 9,418.22

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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.