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Finding the Fourth Proportional to 6,998.42, 10,496.10 and 2,066.94

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Solution

The fourth proportional to 6,998.42, 10,496.10 and 2,066.94 is: 3,099.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.42 : 10,496.10 = 2,066.94 : x
  2. Step 2: Convert to fraction form
    6,998.42/10,496.10 = 2,066.94/x
  3. Step 3: Cross multiply
    6,998.42x = 10,496.10 × 2,066.94
  4. Step 4: Simplify right side
    6,998.42x = 21,694,808.93
  5. Step 5: Solve for x
    x = 21,694,808.93/6,998.42
  6. Step 6: Final answer
    x = 3,099.96

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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.