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Finding the Fourth Proportional to 6,336.48, 9,502.40 and 2,638

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Solution

The fourth proportional to 6,336.48, 9,502.40 and 2,638 is: 3,956.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.48 : 9,502.40 = 2,638 : x
  2. Step 2: Convert to fraction form
    6,336.48/9,502.40 = 2,638/x
  3. Step 3: Cross multiply
    6,336.48x = 9,502.40 × 2,638
  4. Step 4: Simplify right side
    6,336.48x = 25,067,331.20
  5. Step 5: Solve for x
    x = 25,067,331.20/6,336.48
  6. Step 6: Final answer
    x = 3,956.03

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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.