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Finding the Fourth Proportional to 6,463, 9,694.62 and 2,359

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Solution

The fourth proportional to 6,463, 9,694.62 and 2,359 is: 3,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463 : 9,694.62 = 2,359 : x
  2. Step 2: Convert to fraction form
    6,463/9,694.62 = 2,359/x
  3. Step 3: Cross multiply
    6,463x = 9,694.62 × 2,359
  4. Step 4: Simplify right side
    6,463x = 22,869,608.58
  5. Step 5: Solve for x
    x = 22,869,608.58/6,463
  6. Step 6: Final answer
    x = 3,538.54

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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.