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Finding the Fourth Proportional to 18,071.48, 27,104.46 and 6,383

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Solution

The fourth proportional to 18,071.48, 27,104.46 and 6,383 is: 9,573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,071.48 : 27,104.46 = 6,383 : x
  2. Step 2: Convert to fraction form
    18,071.48/27,104.46 = 6,383/x
  3. Step 3: Cross multiply
    18,071.48x = 27,104.46 × 6,383
  4. Step 4: Simplify right side
    18,071.48x = 173,007,768.18
  5. Step 5: Solve for x
    x = 173,007,768.18/18,071.48
  6. Step 6: Final answer
    x = 9,573.53

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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.