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Finding the Fourth Proportional to 6,270.69, 9,406.49 and 2,110.68

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Solution

The fourth proportional to 6,270.69, 9,406.49 and 2,110.68 is: 3,166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.69 : 9,406.49 = 2,110.68 : x
  2. Step 2: Convert to fraction form
    6,270.69/9,406.49 = 2,110.68/x
  3. Step 3: Cross multiply
    6,270.69x = 9,406.49 × 2,110.68
  4. Step 4: Simplify right side
    6,270.69x = 19,854,079.76
  5. Step 5: Solve for x
    x = 19,854,079.76/6,270.69
  6. Step 6: Final answer
    x = 3,166.17

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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.