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Finding the Fourth Proportional to 6,962.82, 9,608.69 and 3,819

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Solution

The fourth proportional to 6,962.82, 9,608.69 and 3,819 is: 5,270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.82 : 9,608.69 = 3,819 : x
  2. Step 2: Convert to fraction form
    6,962.82/9,608.69 = 3,819/x
  3. Step 3: Cross multiply
    6,962.82x = 9,608.69 × 3,819
  4. Step 4: Simplify right side
    6,962.82x = 36,695,568.02
  5. Step 5: Solve for x
    x = 36,695,568.02/6,962.82
  6. Step 6: Final answer
    x = 5,270.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.