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Finding the Fourth Proportional to 6,652, 9,972.54 and 2,759.20

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Solution

The fourth proportional to 6,652, 9,972.54 and 2,759.20 is: 4,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652 : 9,972.54 = 2,759.20 : x
  2. Step 2: Convert to fraction form
    6,652/9,972.54 = 2,759.20/x
  3. Step 3: Cross multiply
    6,652x = 9,972.54 × 2,759.20
  4. Step 4: Simplify right side
    6,652x = 27,516,232.37
  5. Step 5: Solve for x
    x = 27,516,232.37/6,652
  6. Step 6: Final answer
    x = 4,136.54

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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.