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Finding the Fourth Proportional to 6,204, 8,536.41 and 5,988.54

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Solution

The fourth proportional to 6,204, 8,536.41 and 5,988.54 is: 8,239.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204 : 8,536.41 = 5,988.54 : x
  2. Step 2: Convert to fraction form
    6,204/8,536.41 = 5,988.54/x
  3. Step 3: Cross multiply
    6,204x = 8,536.41 × 5,988.54
  4. Step 4: Simplify right side
    6,204x = 51,120,632.74
  5. Step 5: Solve for x
    x = 51,120,632.74/6,204
  6. Step 6: Final answer
    x = 8,239.95

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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.