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Finding the Fourth Proportional to 6,211, 9,317.94 and 2,107

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Solution

The fourth proportional to 6,211, 9,317.94 and 2,107 is: 3,160.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211 : 9,317.94 = 2,107 : x
  2. Step 2: Convert to fraction form
    6,211/9,317.94 = 2,107/x
  3. Step 3: Cross multiply
    6,211x = 9,317.94 × 2,107
  4. Step 4: Simplify right side
    6,211x = 19,632,899.58
  5. Step 5: Solve for x
    x = 19,632,899.58/6,211
  6. Step 6: Final answer
    x = 3,160.99

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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.