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Finding the Fourth Proportional to 6,998.56, 10,496.16 and 2,066.86

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Solution

The fourth proportional to 6,998.56, 10,496.16 and 2,066.86 is: 3,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.56 : 10,496.16 = 2,066.86 : x
  2. Step 2: Convert to fraction form
    6,998.56/10,496.16 = 2,066.86/x
  3. Step 3: Cross multiply
    6,998.56x = 10,496.16 × 2,066.86
  4. Step 4: Simplify right side
    6,998.56x = 21,694,093.26
  5. Step 5: Solve for x
    x = 21,694,093.26/6,998.56
  6. Step 6: Final answer
    x = 3,099.79

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1.5x scale

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.