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Finding the Fourth Proportional to 6,893.51, 10,338.44 and 2,997

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Solution

The fourth proportional to 6,893.51, 10,338.44 and 2,997 is: 4,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.51 : 10,338.44 = 2,997 : x
  2. Step 2: Convert to fraction form
    6,893.51/10,338.44 = 2,997/x
  3. Step 3: Cross multiply
    6,893.51x = 10,338.44 × 2,997
  4. Step 4: Simplify right side
    6,893.51x = 30,984,289.70
  5. Step 5: Solve for x
    x = 30,984,289.70/6,893.51
  6. Step 6: Final answer
    x = 4,494.71

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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.