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Finding the Fourth Proportional to 6,093.50, 9,143.55 and 2,585.48

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Solution

The fourth proportional to 6,093.50, 9,143.55 and 2,585.48 is: 3,879.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.50 : 9,143.55 = 2,585.48 : x
  2. Step 2: Convert to fraction form
    6,093.50/9,143.55 = 2,585.48/x
  3. Step 3: Cross multiply
    6,093.50x = 9,143.55 × 2,585.48
  4. Step 4: Simplify right side
    6,093.50x = 23,640,419.94
  5. Step 5: Solve for x
    x = 23,640,419.94/6,093.50
  6. Step 6: Final answer
    x = 3,879.62

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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.