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Finding the Fourth Proportional to 6,212, 9,319.44 and 2,108

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Solution

The fourth proportional to 6,212, 9,319.44 and 2,108 is: 3,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212 : 9,319.44 = 2,108 : x
  2. Step 2: Convert to fraction form
    6,212/9,319.44 = 2,108/x
  3. Step 3: Cross multiply
    6,212x = 9,319.44 × 2,108
  4. Step 4: Simplify right side
    6,212x = 19,645,379.52
  5. Step 5: Solve for x
    x = 19,645,379.52/6,212
  6. Step 6: Final answer
    x = 3,162.49

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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.