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Finding the Fourth Proportional to 6,930.08, 10,393.87 and 1,998.51

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Solution

The fourth proportional to 6,930.08, 10,393.87 and 1,998.51 is: 2,997.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.08 : 10,393.87 = 1,998.51 : x
  2. Step 2: Convert to fraction form
    6,930.08/10,393.87 = 1,998.51/x
  3. Step 3: Cross multiply
    6,930.08x = 10,393.87 × 1,998.51
  4. Step 4: Simplify right side
    6,930.08x = 20,772,243.14
  5. Step 5: Solve for x
    x = 20,772,243.14/6,930.08
  6. Step 6: Final answer
    x = 2,997.40

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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.