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Finding the Fourth Proportional to 11,997.56, 16,555.92 and 6,961.38

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Solution

The fourth proportional to 11,997.56, 16,555.92 and 6,961.38 is: 9,606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997.56 : 16,555.92 = 6,961.38 : x
  2. Step 2: Convert to fraction form
    11,997.56/16,555.92 = 6,961.38/x
  3. Step 3: Cross multiply
    11,997.56x = 16,555.92 × 6,961.38
  4. Step 4: Simplify right side
    11,997.56x = 115,252,050.37
  5. Step 5: Solve for x
    x = 115,252,050.37/11,997.56
  6. Step 6: Final answer
    x = 9,606.29

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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.