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Finding the Fourth Proportional to 6,884.66, 10,327.02 and 1,690.54

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Solution

The fourth proportional to 6,884.66, 10,327.02 and 1,690.54 is: 2,535.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.66 : 10,327.02 = 1,690.54 : x
  2. Step 2: Convert to fraction form
    6,884.66/10,327.02 = 1,690.54/x
  3. Step 3: Cross multiply
    6,884.66x = 10,327.02 × 1,690.54
  4. Step 4: Simplify right side
    6,884.66x = 17,458,240.39
  5. Step 5: Solve for x
    x = 17,458,240.39/6,884.66
  6. Step 6: Final answer
    x = 2,535.82

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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.