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Finding the Fourth Proportional to 6,467.71, 9,701.29 and 1,850.71

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Solution

The fourth proportional to 6,467.71, 9,701.29 and 1,850.71 is: 2,775.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.71 : 9,701.29 = 1,850.71 : x
  2. Step 2: Convert to fraction form
    6,467.71/9,701.29 = 1,850.71/x
  3. Step 3: Cross multiply
    6,467.71x = 9,701.29 × 1,850.71
  4. Step 4: Simplify right side
    6,467.71x = 17,954,245.54
  5. Step 5: Solve for x
    x = 17,954,245.54/6,467.71
  6. Step 6: Final answer
    x = 2,775.98

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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.