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Finding the Fourth Proportional to 6,633.85, 9,949.54 and 2,684.07

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Solution

The fourth proportional to 6,633.85, 9,949.54 and 2,684.07 is: 4,025.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.85 : 9,949.54 = 2,684.07 : x
  2. Step 2: Convert to fraction form
    6,633.85/9,949.54 = 2,684.07/x
  3. Step 3: Cross multiply
    6,633.85x = 9,949.54 × 2,684.07
  4. Step 4: Simplify right side
    6,633.85x = 26,705,279.99
  5. Step 5: Solve for x
    x = 26,705,279.99/6,633.85
  6. Step 6: Final answer
    x = 4,025.61

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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.