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Finding the Fourth Proportional to 6,886.62, 10,327.50 and 2,503.08

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Solution

The fourth proportional to 6,886.62, 10,327.50 and 2,503.08 is: 3,753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.62 : 10,327.50 = 2,503.08 : x
  2. Step 2: Convert to fraction form
    6,886.62/10,327.50 = 2,503.08/x
  3. Step 3: Cross multiply
    6,886.62x = 10,327.50 × 2,503.08
  4. Step 4: Simplify right side
    6,886.62x = 25,850,558.70
  5. Step 5: Solve for x
    x = 25,850,558.70/6,886.62
  6. Step 6: Final answer
    x = 3,753.74

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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.