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Finding the Fourth Proportional to 6,003.50, 9,005.26 and 2,109.02

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Solution

The fourth proportional to 6,003.50, 9,005.26 and 2,109.02 is: 3,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,003.50 : 9,005.26 = 2,109.02 : x
  2. Step 2: Convert to fraction form
    6,003.50/9,005.26 = 2,109.02/x
  3. Step 3: Cross multiply
    6,003.50x = 9,005.26 × 2,109.02
  4. Step 4: Simplify right side
    6,003.50x = 18,992,273.45
  5. Step 5: Solve for x
    x = 18,992,273.45/6,003.50
  6. Step 6: Final answer
    x = 3,163.53

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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.