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Finding the Fourth Proportional to 6,648.48, 9,975.24 and 4,902.24

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Solution

The fourth proportional to 6,648.48, 9,975.24 and 4,902.24 is: 7,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.48 : 9,975.24 = 4,902.24 : x
  2. Step 2: Convert to fraction form
    6,648.48/9,975.24 = 4,902.24/x
  3. Step 3: Cross multiply
    6,648.48x = 9,975.24 × 4,902.24
  4. Step 4: Simplify right side
    6,648.48x = 48,901,020.54
  5. Step 5: Solve for x
    x = 48,901,020.54/6,648.48
  6. Step 6: Final answer
    x = 7,355.22

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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.