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Finding the Fourth Proportional to 6,996.69, 10,497.06 and 2,066.49

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Solution

The fourth proportional to 6,996.69, 10,497.06 and 2,066.49 is: 3,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.69 : 10,497.06 = 2,066.49 : x
  2. Step 2: Convert to fraction form
    6,996.69/10,497.06 = 2,066.49/x
  3. Step 3: Cross multiply
    6,996.69x = 10,497.06 × 2,066.49
  4. Step 4: Simplify right side
    6,996.69x = 21,692,069.52
  5. Step 5: Solve for x
    x = 21,692,069.52/6,996.69
  6. Step 6: Final answer
    x = 3,100.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.