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Finding the Fourth Proportional to 6,406.74, 9,608.54 and 2,024.24

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Solution

The fourth proportional to 6,406.74, 9,608.54 and 2,024.24 is: 3,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.74 : 9,608.54 = 2,024.24 : x
  2. Step 2: Convert to fraction form
    6,406.74/9,608.54 = 2,024.24/x
  3. Step 3: Cross multiply
    6,406.74x = 9,608.54 × 2,024.24
  4. Step 4: Simplify right side
    6,406.74x = 19,449,932.85
  5. Step 5: Solve for x
    x = 19,449,932.85/6,406.74
  6. Step 6: Final answer
    x = 3,035.85

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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.