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Finding the Fourth Proportional to 11,996.92, 16,555.53 and 6,961.06

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Solution

The fourth proportional to 11,996.92, 16,555.53 and 6,961.06 is: 9,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.92 : 16,555.53 = 6,961.06 : x
  2. Step 2: Convert to fraction form
    11,996.92/16,555.53 = 6,961.06/x
  3. Step 3: Cross multiply
    11,996.92x = 16,555.53 × 6,961.06
  4. Step 4: Simplify right side
    11,996.92x = 115,244,037.66
  5. Step 5: Solve for x
    x = 115,244,037.66/11,996.92
  6. Step 6: Final answer
    x = 9,606.14

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Double scale
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1.5x scale

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.