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Finding the Fourth Proportional to 6,398.28, 9,598.08 and 1,781.28

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Solution

The fourth proportional to 6,398.28, 9,598.08 and 1,781.28 is: 2,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.28 : 9,598.08 = 1,781.28 : x
  2. Step 2: Convert to fraction form
    6,398.28/9,598.08 = 1,781.28/x
  3. Step 3: Cross multiply
    6,398.28x = 9,598.08 × 1,781.28
  4. Step 4: Simplify right side
    6,398.28x = 17,096,867.94
  5. Step 5: Solve for x
    x = 17,096,867.94/6,398.28
  6. Step 6: Final answer
    x = 2,672.10

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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.