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Finding the Fourth Proportional to 6,928.66, 10,393.46 and 1,998.34

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Solution

The fourth proportional to 6,928.66, 10,393.46 and 1,998.34 is: 2,997.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.66 : 10,393.46 = 1,998.34 : x
  2. Step 2: Convert to fraction form
    6,928.66/10,393.46 = 1,998.34/x
  3. Step 3: Cross multiply
    6,928.66x = 10,393.46 × 1,998.34
  4. Step 4: Simplify right side
    6,928.66x = 20,769,666.86
  5. Step 5: Solve for x
    x = 20,769,666.86/6,928.66
  6. Step 6: Final answer
    x = 2,997.65

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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.