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Finding the Fourth Proportional to 6,105.65, 9,138.83 and 5,530.19

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Solution

The fourth proportional to 6,105.65, 9,138.83 and 5,530.19 is: 8,277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.65 : 9,138.83 = 5,530.19 : x
  2. Step 2: Convert to fraction form
    6,105.65/9,138.83 = 5,530.19/x
  3. Step 3: Cross multiply
    6,105.65x = 9,138.83 × 5,530.19
  4. Step 4: Simplify right side
    6,105.65x = 50,539,392.93
  5. Step 5: Solve for x
    x = 50,539,392.93/6,105.65
  6. Step 6: Final answer
    x = 8,277.49

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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.