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Finding the Fourth Proportional to 6,943.03, 10,414.45 and 1,678

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Solution

The fourth proportional to 6,943.03, 10,414.45 and 1,678 is: 2,516.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.03 : 10,414.45 = 1,678 : x
  2. Step 2: Convert to fraction form
    6,943.03/10,414.45 = 1,678/x
  3. Step 3: Cross multiply
    6,943.03x = 10,414.45 × 1,678
  4. Step 4: Simplify right side
    6,943.03x = 17,475,447.10
  5. Step 5: Solve for x
    x = 17,475,447.10/6,943.03
  6. Step 6: Final answer
    x = 2,516.98

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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.