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Finding the Fourth Proportional to 6,910.97, 10,364.92 and 1,979.51

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Solution

The fourth proportional to 6,910.97, 10,364.92 and 1,979.51 is: 2,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.97 : 10,364.92 = 1,979.51 : x
  2. Step 2: Convert to fraction form
    6,910.97/10,364.92 = 1,979.51/x
  3. Step 3: Cross multiply
    6,910.97x = 10,364.92 × 1,979.51
  4. Step 4: Simplify right side
    6,910.97x = 20,517,406.02
  5. Step 5: Solve for x
    x = 20,517,406.02/6,910.97
  6. Step 6: Final answer
    x = 2,968.82

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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.