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Finding the Fourth Proportional to 6,310.67, 9,466.03 and 1,928.12

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Solution

The fourth proportional to 6,310.67, 9,466.03 and 1,928.12 is: 2,892.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.67 : 9,466.03 = 1,928.12 : x
  2. Step 2: Convert to fraction form
    6,310.67/9,466.03 = 1,928.12/x
  3. Step 3: Cross multiply
    6,310.67x = 9,466.03 × 1,928.12
  4. Step 4: Simplify right side
    6,310.67x = 18,251,589.61
  5. Step 5: Solve for x
    x = 18,251,589.61/6,310.67
  6. Step 6: Final answer
    x = 2,892.18

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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.