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Finding the Fourth Proportional to 6,406.40, 9,608.60 and 2,024.92

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Solution

The fourth proportional to 6,406.40, 9,608.60 and 2,024.92 is: 3,037.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.40 : 9,608.60 = 2,024.92 : x
  2. Step 2: Convert to fraction form
    6,406.40/9,608.60 = 2,024.92/x
  3. Step 3: Cross multiply
    6,406.40x = 9,608.60 × 2,024.92
  4. Step 4: Simplify right side
    6,406.40x = 19,456,646.31
  5. Step 5: Solve for x
    x = 19,456,646.31/6,406.40
  6. Step 6: Final answer
    x = 3,037.06

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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.