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Finding the Fourth Proportional to 6,743.52, 10,103.04 and 3,273.12

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Solution

The fourth proportional to 6,743.52, 10,103.04 and 3,273.12 is: 4,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.52 : 10,103.04 = 3,273.12 : x
  2. Step 2: Convert to fraction form
    6,743.52/10,103.04 = 3,273.12/x
  3. Step 3: Cross multiply
    6,743.52x = 10,103.04 × 3,273.12
  4. Step 4: Simplify right side
    6,743.52x = 33,068,462.28
  5. Step 5: Solve for x
    x = 33,068,462.28/6,743.52
  6. Step 6: Final answer
    x = 4,903.74

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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.