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Finding the Fourth Proportional to 6,908.73, 10,365.14 and 3,213.15

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Solution

The fourth proportional to 6,908.73, 10,365.14 and 3,213.15 is: 4,820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.73 : 10,365.14 = 3,213.15 : x
  2. Step 2: Convert to fraction form
    6,908.73/10,365.14 = 3,213.15/x
  3. Step 3: Cross multiply
    6,908.73x = 10,365.14 × 3,213.15
  4. Step 4: Simplify right side
    6,908.73x = 33,304,749.59
  5. Step 5: Solve for x
    x = 33,304,749.59/6,908.73
  6. Step 6: Final answer
    x = 4,820.68

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1.5x scale

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.