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Finding the Fourth Proportional to 6,166.84, 9,249.16 and 2,006.23

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Solution

The fourth proportional to 6,166.84, 9,249.16 and 2,006.23 is: 3,008.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.84 : 9,249.16 = 2,006.23 : x
  2. Step 2: Convert to fraction form
    6,166.84/9,249.16 = 2,006.23/x
  3. Step 3: Cross multiply
    6,166.84x = 9,249.16 × 2,006.23
  4. Step 4: Simplify right side
    6,166.84x = 18,555,942.27
  5. Step 5: Solve for x
    x = 18,555,942.27/6,166.84
  6. Step 6: Final answer
    x = 3,008.99

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1.5x scale

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.