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Finding the Fourth Proportional to 6,735.72, 10,101.15 and 2,838

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Solution

The fourth proportional to 6,735.72, 10,101.15 and 2,838 is: 4,255.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.72 : 10,101.15 = 2,838 : x
  2. Step 2: Convert to fraction form
    6,735.72/10,101.15 = 2,838/x
  3. Step 3: Cross multiply
    6,735.72x = 10,101.15 × 2,838
  4. Step 4: Simplify right side
    6,735.72x = 28,667,063.70
  5. Step 5: Solve for x
    x = 28,667,063.70/6,735.72
  6. Step 6: Final answer
    x = 4,255.98

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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.