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Finding the Fourth Proportional to 6,310.64, 9,466.49 and 1,928.14

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Solution

The fourth proportional to 6,310.64, 9,466.49 and 1,928.14 is: 2,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.64 : 9,466.49 = 1,928.14 : x
  2. Step 2: Convert to fraction form
    6,310.64/9,466.49 = 1,928.14/x
  3. Step 3: Cross multiply
    6,310.64x = 9,466.49 × 1,928.14
  4. Step 4: Simplify right side
    6,310.64x = 18,252,718.03
  5. Step 5: Solve for x
    x = 18,252,718.03/6,310.64
  6. Step 6: Final answer
    x = 2,892.37

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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.