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Finding the Fourth Proportional to 6,907.73, 10,363.64 and 3,212.15

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Solution

The fourth proportional to 6,907.73, 10,363.64 and 3,212.15 is: 4,819.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.73 : 10,363.64 = 3,212.15 : x
  2. Step 2: Convert to fraction form
    6,907.73/10,363.64 = 3,212.15/x
  3. Step 3: Cross multiply
    6,907.73x = 10,363.64 × 3,212.15
  4. Step 4: Simplify right side
    6,907.73x = 33,289,550.17
  5. Step 5: Solve for x
    x = 33,289,550.17/6,907.73
  6. Step 6: Final answer
    x = 4,819.18

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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.