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Finding the Fourth Proportional to 6,932.14, 10,398.03 and 2,547.70

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Solution

The fourth proportional to 6,932.14, 10,398.03 and 2,547.70 is: 3,821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.14 : 10,398.03 = 2,547.70 : x
  2. Step 2: Convert to fraction form
    6,932.14/10,398.03 = 2,547.70/x
  3. Step 3: Cross multiply
    6,932.14x = 10,398.03 × 2,547.70
  4. Step 4: Simplify right side
    6,932.14x = 26,491,061.03
  5. Step 5: Solve for x
    x = 26,491,061.03/6,932.14
  6. Step 6: Final answer
    x = 3,821.48

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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.