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Finding the Fourth Proportional to 6,798.38, 10,202.63 and 2,639.03

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Solution

The fourth proportional to 6,798.38, 10,202.63 and 2,639.03 is: 3,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.38 : 10,202.63 = 2,639.03 : x
  2. Step 2: Convert to fraction form
    6,798.38/10,202.63 = 2,639.03/x
  3. Step 3: Cross multiply
    6,798.38x = 10,202.63 × 2,639.03
  4. Step 4: Simplify right side
    6,798.38x = 26,924,982.44
  5. Step 5: Solve for x
    x = 26,924,982.44/6,798.38
  6. Step 6: Final answer
    x = 3,960.50

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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.