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Finding the Fourth Proportional to 6,964.65, 9,610.79 and 3,820.82

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Solution

The fourth proportional to 6,964.65, 9,610.79 and 3,820.82 is: 5,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.65 : 9,610.79 = 3,820.82 : x
  2. Step 2: Convert to fraction form
    6,964.65/9,610.79 = 3,820.82/x
  3. Step 3: Cross multiply
    6,964.65x = 9,610.79 × 3,820.82
  4. Step 4: Simplify right side
    6,964.65x = 36,721,031.49
  5. Step 5: Solve for x
    x = 36,721,031.49/6,964.65
  6. Step 6: Final answer
    x = 5,272.49

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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.