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Finding the Fourth Proportional to 6,906.25, 10,361 and 2,289.25

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Solution

The fourth proportional to 6,906.25, 10,361 and 2,289.25 is: 3,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.25 : 10,361 = 2,289.25 : x
  2. Step 2: Convert to fraction form
    6,906.25/10,361 = 2,289.25/x
  3. Step 3: Cross multiply
    6,906.25x = 10,361 × 2,289.25
  4. Step 4: Simplify right side
    6,906.25x = 23,718,919.25
  5. Step 5: Solve for x
    x = 23,718,919.25/6,906.25
  6. Step 6: Final answer
    x = 3,434.41

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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.