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Finding the Fourth Proportional to 11,299, 15,592.62 and 6,883

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Solution

The fourth proportional to 11,299, 15,592.62 and 6,883 is: 9,498.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,299 : 15,592.62 = 6,883 : x
  2. Step 2: Convert to fraction form
    11,299/15,592.62 = 6,883/x
  3. Step 3: Cross multiply
    11,299x = 15,592.62 × 6,883
  4. Step 4: Simplify right side
    11,299x = 107,324,003.46
  5. Step 5: Solve for x
    x = 107,324,003.46/11,299
  6. Step 6: Final answer
    x = 9,498.54

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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.