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Finding the Fourth Proportional to 6,405.67, 9,608.51 and 2,023.47

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Solution

The fourth proportional to 6,405.67, 9,608.51 and 2,023.47 is: 3,035.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.67 : 9,608.51 = 2,023.47 : x
  2. Step 2: Convert to fraction form
    6,405.67/9,608.51 = 2,023.47/x
  3. Step 3: Cross multiply
    6,405.67x = 9,608.51 × 2,023.47
  4. Step 4: Simplify right side
    6,405.67x = 19,442,531.73
  5. Step 5: Solve for x
    x = 19,442,531.73/6,405.67
  6. Step 6: Final answer
    x = 3,035.21

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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.