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Finding the Fourth Proportional to 6,398.16, 9,599.40 and 2,016.24

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Solution

The fourth proportional to 6,398.16, 9,599.40 and 2,016.24 is: 3,025.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.16 : 9,599.40 = 2,016.24 : x
  2. Step 2: Convert to fraction form
    6,398.16/9,599.40 = 2,016.24/x
  3. Step 3: Cross multiply
    6,398.16x = 9,599.40 × 2,016.24
  4. Step 4: Simplify right side
    6,398.16x = 19,354,694.26
  5. Step 5: Solve for x
    x = 19,354,694.26/6,398.16
  6. Step 6: Final answer
    x = 3,025.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.