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Finding the Fourth Proportional to 6,558.10, 9,838.23 and 2,174.92

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Solution

The fourth proportional to 6,558.10, 9,838.23 and 2,174.92 is: 3,262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.10 : 9,838.23 = 2,174.92 : x
  2. Step 2: Convert to fraction form
    6,558.10/9,838.23 = 2,174.92/x
  3. Step 3: Cross multiply
    6,558.10x = 9,838.23 × 2,174.92
  4. Step 4: Simplify right side
    6,558.10x = 21,397,363.19
  5. Step 5: Solve for x
    x = 21,397,363.19/6,558.10
  6. Step 6: Final answer
    x = 3,262.74

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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.