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Finding the Fourth Proportional to 6,077.82, 9,107 and 5,494.62

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Solution

The fourth proportional to 6,077.82, 9,107 and 5,494.62 is: 8,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.82 : 9,107 = 5,494.62 : x
  2. Step 2: Convert to fraction form
    6,077.82/9,107 = 5,494.62/x
  3. Step 3: Cross multiply
    6,077.82x = 9,107 × 5,494.62
  4. Step 4: Simplify right side
    6,077.82x = 50,039,504.34
  5. Step 5: Solve for x
    x = 50,039,504.34/6,077.82
  6. Step 6: Final answer
    x = 8,233.13

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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.