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Finding the Fourth Proportional to 6,535.16, 9,799 and 2,151.44

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Solution

The fourth proportional to 6,535.16, 9,799 and 2,151.44 is: 3,225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.16 : 9,799 = 2,151.44 : x
  2. Step 2: Convert to fraction form
    6,535.16/9,799 = 2,151.44/x
  3. Step 3: Cross multiply
    6,535.16x = 9,799 × 2,151.44
  4. Step 4: Simplify right side
    6,535.16x = 21,081,960.56
  5. Step 5: Solve for x
    x = 21,081,960.56/6,535.16
  6. Step 6: Final answer
    x = 3,225.93

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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.