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Finding the Fourth Proportional to 6,398.52, 9,597.84 and 2,238.52

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Solution

The fourth proportional to 6,398.52, 9,597.84 and 2,238.52 is: 3,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.52 : 9,597.84 = 2,238.52 : x
  2. Step 2: Convert to fraction form
    6,398.52/9,597.84 = 2,238.52/x
  3. Step 3: Cross multiply
    6,398.52x = 9,597.84 × 2,238.52
  4. Step 4: Simplify right side
    6,398.52x = 21,484,956.80
  5. Step 5: Solve for x
    x = 21,484,956.80/6,398.52
  6. Step 6: Final answer
    x = 3,357.80

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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.