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Finding the Fourth Proportional to 11,171, 15,416.04 and 6,981.68

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Solution

The fourth proportional to 11,171, 15,416.04 and 6,981.68 is: 9,634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171 : 15,416.04 = 6,981.68 : x
  2. Step 2: Convert to fraction form
    11,171/15,416.04 = 6,981.68/x
  3. Step 3: Cross multiply
    11,171x = 15,416.04 × 6,981.68
  4. Step 4: Simplify right side
    11,171x = 107,629,858.15
  5. Step 5: Solve for x
    x = 107,629,858.15/11,171
  6. Step 6: Final answer
    x = 9,634.76

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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.