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Finding the Fourth Proportional to 6,550.53, 9,823.50 and 2,166.81

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Solution

The fourth proportional to 6,550.53, 9,823.50 and 2,166.81 is: 3,249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.53 : 9,823.50 = 2,166.81 : x
  2. Step 2: Convert to fraction form
    6,550.53/9,823.50 = 2,166.81/x
  3. Step 3: Cross multiply
    6,550.53x = 9,823.50 × 2,166.81
  4. Step 4: Simplify right side
    6,550.53x = 21,285,658.04
  5. Step 5: Solve for x
    x = 21,285,658.04/6,550.53
  6. Step 6: Final answer
    x = 3,249.46

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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.