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Finding the Fourth Proportional to 11,458, 17,194.68 and 4,162

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Solution

The fourth proportional to 11,458, 17,194.68 and 4,162 is: 6,245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458 : 17,194.68 = 4,162 : x
  2. Step 2: Convert to fraction form
    11,458/17,194.68 = 4,162/x
  3. Step 3: Cross multiply
    11,458x = 17,194.68 × 4,162
  4. Step 4: Simplify right side
    11,458x = 71,564,258.16
  5. Step 5: Solve for x
    x = 71,564,258.16/11,458
  6. Step 6: Final answer
    x = 6,245.79

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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.