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Finding the Fourth Proportional to 11,196, 16,797 and 9,971.82

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Solution

The fourth proportional to 11,196, 16,797 and 9,971.82 is: 14,960.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,196 : 16,797 = 9,971.82 : x
  2. Step 2: Convert to fraction form
    11,196/16,797 = 9,971.82/x
  3. Step 3: Cross multiply
    11,196x = 16,797 × 9,971.82
  4. Step 4: Simplify right side
    11,196x = 167,496,660.54
  5. Step 5: Solve for x
    x = 167,496,660.54/11,196
  6. Step 6: Final answer
    x = 14,960.40

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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.