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Finding the Fourth Proportional to 6,558.37, 9,834.31 and 2,174.34

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Solution

The fourth proportional to 6,558.37, 9,834.31 and 2,174.34 is: 3,260.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.37 : 9,834.31 = 2,174.34 : x
  2. Step 2: Convert to fraction form
    6,558.37/9,834.31 = 2,174.34/x
  3. Step 3: Cross multiply
    6,558.37x = 9,834.31 × 2,174.34
  4. Step 4: Simplify right side
    6,558.37x = 21,383,173.20
  5. Step 5: Solve for x
    x = 21,383,173.20/6,558.37
  6. Step 6: Final answer
    x = 3,260.44

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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.