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Finding the Fourth Proportional to 6,115.52, 9,173.73 and 1,733.31

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Solution

The fourth proportional to 6,115.52, 9,173.73 and 1,733.31 is: 2,600.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.52 : 9,173.73 = 1,733.31 : x
  2. Step 2: Convert to fraction form
    6,115.52/9,173.73 = 1,733.31/x
  3. Step 3: Cross multiply
    6,115.52x = 9,173.73 × 1,733.31
  4. Step 4: Simplify right side
    6,115.52x = 15,900,917.95
  5. Step 5: Solve for x
    x = 15,900,917.95/6,115.52
  6. Step 6: Final answer
    x = 2,600.09

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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.