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Finding the Fourth Proportional to 6,994.88, 10,490.70 and 1,997.15

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Solution

The fourth proportional to 6,994.88, 10,490.70 and 1,997.15 is: 2,995.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.88 : 10,490.70 = 1,997.15 : x
  2. Step 2: Convert to fraction form
    6,994.88/10,490.70 = 1,997.15/x
  3. Step 3: Cross multiply
    6,994.88x = 10,490.70 × 1,997.15
  4. Step 4: Simplify right side
    6,994.88x = 20,951,527.73
  5. Step 5: Solve for x
    x = 20,951,527.73/6,994.88
  6. Step 6: Final answer
    x = 2,995.27

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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.