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Finding the Fourth Proportional to 6,870.67, 9,481.74 and 3,886.44

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Solution

The fourth proportional to 6,870.67, 9,481.74 and 3,886.44 is: 5,363.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.67 : 9,481.74 = 3,886.44 : x
  2. Step 2: Convert to fraction form
    6,870.67/9,481.74 = 3,886.44/x
  3. Step 3: Cross multiply
    6,870.67x = 9,481.74 × 3,886.44
  4. Step 4: Simplify right side
    6,870.67x = 36,850,213.61
  5. Step 5: Solve for x
    x = 36,850,213.61/6,870.67
  6. Step 6: Final answer
    x = 5,363.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.