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Finding the Fourth Proportional to 8,091.96, 11,094.05 and 7,944.33

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Solution

The fourth proportional to 8,091.96, 11,094.05 and 7,944.33 is: 10,891.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.96 : 11,094.05 = 7,944.33 : x
  2. Step 2: Convert to fraction form
    8,091.96/11,094.05 = 7,944.33/x
  3. Step 3: Cross multiply
    8,091.96x = 11,094.05 × 7,944.33
  4. Step 4: Simplify right side
    8,091.96x = 88,134,754.51
  5. Step 5: Solve for x
    x = 88,134,754.51/8,091.96
  6. Step 6: Final answer
    x = 10,891.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.