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Finding the Fourth Proportional to 6,946.97, 10,420.92 and 2,443.49

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Solution

The fourth proportional to 6,946.97, 10,420.92 and 2,443.49 is: 3,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.97 : 10,420.92 = 2,443.49 : x
  2. Step 2: Convert to fraction form
    6,946.97/10,420.92 = 2,443.49/x
  3. Step 3: Cross multiply
    6,946.97x = 10,420.92 × 2,443.49
  4. Step 4: Simplify right side
    6,946.97x = 25,463,358.99
  5. Step 5: Solve for x
    x = 25,463,358.99/6,946.97
  6. Step 6: Final answer
    x = 3,665.39

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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.