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Finding the Fourth Proportional to 6,208, 9,313.22 and 2,745.25

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Solution

The fourth proportional to 6,208, 9,313.22 and 2,745.25 is: 4,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208 : 9,313.22 = 2,745.25 : x
  2. Step 2: Convert to fraction form
    6,208/9,313.22 = 2,745.25/x
  3. Step 3: Cross multiply
    6,208x = 9,313.22 × 2,745.25
  4. Step 4: Simplify right side
    6,208x = 25,567,117.21
  5. Step 5: Solve for x
    x = 25,567,117.21/6,208
  6. Step 6: Final answer
    x = 4,118.41

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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.