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Finding the Fourth Proportional to 6,063.56, 9,086.22 and 4,109

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Solution

The fourth proportional to 6,063.56, 9,086.22 and 4,109 is: 6,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,063.56 : 9,086.22 = 4,109 : x
  2. Step 2: Convert to fraction form
    6,063.56/9,086.22 = 4,109/x
  3. Step 3: Cross multiply
    6,063.56x = 9,086.22 × 4,109
  4. Step 4: Simplify right side
    6,063.56x = 37,335,277.98
  5. Step 5: Solve for x
    x = 37,335,277.98/6,063.56
  6. Step 6: Final answer
    x = 6,157.32

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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.