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Finding the Fourth Proportional to 6,727.41, 10,087.74 and 4,267.17

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Solution

The fourth proportional to 6,727.41, 10,087.74 and 4,267.17 is: 6,398.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.41 : 10,087.74 = 4,267.17 : x
  2. Step 2: Convert to fraction form
    6,727.41/10,087.74 = 4,267.17/x
  3. Step 3: Cross multiply
    6,727.41x = 10,087.74 × 4,267.17
  4. Step 4: Simplify right side
    6,727.41x = 43,046,101.50
  5. Step 5: Solve for x
    x = 43,046,101.50/6,727.41
  6. Step 6: Final answer
    x = 6,398.61

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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.