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Finding the Fourth Proportional to 6,686, 10,028.98 and 1,688.38

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Solution

The fourth proportional to 6,686, 10,028.98 and 1,688.38 is: 2,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686 : 10,028.98 = 1,688.38 : x
  2. Step 2: Convert to fraction form
    6,686/10,028.98 = 1,688.38/x
  3. Step 3: Cross multiply
    6,686x = 10,028.98 × 1,688.38
  4. Step 4: Simplify right side
    6,686x = 16,932,729.25
  5. Step 5: Solve for x
    x = 16,932,729.25/6,686
  6. Step 6: Final answer
    x = 2,532.56

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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.