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Finding the Fourth Proportional to 6,380.48, 9,562.44 and 3,089

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Solution

The fourth proportional to 6,380.48, 9,562.44 and 3,089 is: 4,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.48 : 9,562.44 = 3,089 : x
  2. Step 2: Convert to fraction form
    6,380.48/9,562.44 = 3,089/x
  3. Step 3: Cross multiply
    6,380.48x = 9,562.44 × 3,089
  4. Step 4: Simplify right side
    6,380.48x = 29,538,377.16
  5. Step 5: Solve for x
    x = 29,538,377.16/6,380.48
  6. Step 6: Final answer
    x = 4,629.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.