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Finding the Fourth Proportional to 6,998.16, 10,494.08 and 2,066.08

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Solution

The fourth proportional to 6,998.16, 10,494.08 and 2,066.08 is: 3,098.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.16 : 10,494.08 = 2,066.08 : x
  2. Step 2: Convert to fraction form
    6,998.16/10,494.08 = 2,066.08/x
  3. Step 3: Cross multiply
    6,998.16x = 10,494.08 × 2,066.08
  4. Step 4: Simplify right side
    6,998.16x = 21,681,608.81
  5. Step 5: Solve for x
    x = 21,681,608.81/6,998.16
  6. Step 6: Final answer
    x = 3,098.19

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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.