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Finding the Fourth Proportional to 6,181.96, 9,273.90 and 2,077

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Solution

The fourth proportional to 6,181.96, 9,273.90 and 2,077 is: 3,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.96 : 9,273.90 = 2,077 : x
  2. Step 2: Convert to fraction form
    6,181.96/9,273.90 = 2,077/x
  3. Step 3: Cross multiply
    6,181.96x = 9,273.90 × 2,077
  4. Step 4: Simplify right side
    6,181.96x = 19,261,890.30
  5. Step 5: Solve for x
    x = 19,261,890.30/6,181.96
  6. Step 6: Final answer
    x = 3,115.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.