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Finding the Fourth Proportional to 6,346.33, 9,519.76 and 1,963.87

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Solution

The fourth proportional to 6,346.33, 9,519.76 and 1,963.87 is: 2,945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.33 : 9,519.76 = 1,963.87 : x
  2. Step 2: Convert to fraction form
    6,346.33/9,519.76 = 1,963.87/x
  3. Step 3: Cross multiply
    6,346.33x = 9,519.76 × 1,963.87
  4. Step 4: Simplify right side
    6,346.33x = 18,695,571.07
  5. Step 5: Solve for x
    x = 18,695,571.07/6,346.33
  6. Step 6: Final answer
    x = 2,945.89

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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.