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Finding the Fourth Proportional to 6,551.35, 9,825.20 and 2,168.24

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Solution

The fourth proportional to 6,551.35, 9,825.20 and 2,168.24 is: 3,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.35 : 9,825.20 = 2,168.24 : x
  2. Step 2: Convert to fraction form
    6,551.35/9,825.20 = 2,168.24/x
  3. Step 3: Cross multiply
    6,551.35x = 9,825.20 × 2,168.24
  4. Step 4: Simplify right side
    6,551.35x = 21,303,339.81
  5. Step 5: Solve for x
    x = 21,303,339.81/6,551.35
  6. Step 6: Final answer
    x = 3,251.75

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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.