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Finding the Fourth Proportional to 6,544.07, 9,816.05 and 2,648.42

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Solution

The fourth proportional to 6,544.07, 9,816.05 and 2,648.42 is: 3,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.07 : 9,816.05 = 2,648.42 : x
  2. Step 2: Convert to fraction form
    6,544.07/9,816.05 = 2,648.42/x
  3. Step 3: Cross multiply
    6,544.07x = 9,816.05 × 2,648.42
  4. Step 4: Simplify right side
    6,544.07x = 25,996,980.68
  5. Step 5: Solve for x
    x = 25,996,980.68/6,544.07
  6. Step 6: Final answer
    x = 3,972.60

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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.