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Finding the Fourth Proportional to 11,167, 15,410.46 and 6,199

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Solution

The fourth proportional to 11,167, 15,410.46 and 6,199 is: 8,554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167 : 15,410.46 = 6,199 : x
  2. Step 2: Convert to fraction form
    11,167/15,410.46 = 6,199/x
  3. Step 3: Cross multiply
    11,167x = 15,410.46 × 6,199
  4. Step 4: Simplify right side
    11,167x = 95,529,441.54
  5. Step 5: Solve for x
    x = 95,529,441.54/11,167
  6. Step 6: Final answer
    x = 8,554.62

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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.