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Finding the Fourth Proportional to 6,535, 9,806.82 and 3,072.52

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Solution

The fourth proportional to 6,535, 9,806.82 and 3,072.52 is: 4,610.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535 : 9,806.82 = 3,072.52 : x
  2. Step 2: Convert to fraction form
    6,535/9,806.82 = 3,072.52/x
  3. Step 3: Cross multiply
    6,535x = 9,806.82 × 3,072.52
  4. Step 4: Simplify right side
    6,535x = 30,131,650.59
  5. Step 5: Solve for x
    x = 30,131,650.59/6,535
  6. Step 6: Final answer
    x = 4,610.81

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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.