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Finding the Fourth Proportional to 10,669.54, 16,004.54 and 3,273.82

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Solution

The fourth proportional to 10,669.54, 16,004.54 and 3,273.82 is: 4,910.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.54 : 16,004.54 = 3,273.82 : x
  2. Step 2: Convert to fraction form
    10,669.54/16,004.54 = 3,273.82/x
  3. Step 3: Cross multiply
    10,669.54x = 16,004.54 × 3,273.82
  4. Step 4: Simplify right side
    10,669.54x = 52,395,983.14
  5. Step 5: Solve for x
    x = 52,395,983.14/10,669.54
  6. Step 6: Final answer
    x = 4,910.80

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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.