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Finding the Fourth Proportional to 6,648.16, 9,975.12 and 3,566.56

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Solution

The fourth proportional to 6,648.16, 9,975.12 and 3,566.56 is: 5,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.16 : 9,975.12 = 3,566.56 : x
  2. Step 2: Convert to fraction form
    6,648.16/9,975.12 = 3,566.56/x
  3. Step 3: Cross multiply
    6,648.16x = 9,975.12 × 3,566.56
  4. Step 4: Simplify right side
    6,648.16x = 35,576,863.99
  5. Step 5: Solve for x
    x = 35,576,863.99/6,648.16
  6. Step 6: Final answer
    x = 5,351.39

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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.