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Finding the Fourth Proportional to 6,453.82, 9,677.52 and 2,070.71

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Solution

The fourth proportional to 6,453.82, 9,677.52 and 2,070.71 is: 3,105.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.82 : 9,677.52 = 2,070.71 : x
  2. Step 2: Convert to fraction form
    6,453.82/9,677.52 = 2,070.71/x
  3. Step 3: Cross multiply
    6,453.82x = 9,677.52 × 2,070.71
  4. Step 4: Simplify right side
    6,453.82x = 20,039,289.05
  5. Step 5: Solve for x
    x = 20,039,289.05/6,453.82
  6. Step 6: Final answer
    x = 3,105.03

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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.