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Finding the Fourth Proportional to 6,586.43, 9,879.93 and 3,662.52

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Solution

The fourth proportional to 6,586.43, 9,879.93 and 3,662.52 is: 5,493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.43 : 9,879.93 = 3,662.52 : x
  2. Step 2: Convert to fraction form
    6,586.43/9,879.93 = 3,662.52/x
  3. Step 3: Cross multiply
    6,586.43x = 9,879.93 × 3,662.52
  4. Step 4: Simplify right side
    6,586.43x = 36,185,441.22
  5. Step 5: Solve for x
    x = 36,185,441.22/6,586.43
  6. Step 6: Final answer
    x = 5,493.94

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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.