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Finding the Fourth Proportional to 6,406.77, 9,609.13 and 2,025.25

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Solution

The fourth proportional to 6,406.77, 9,609.13 and 2,025.25 is: 3,037.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.77 : 9,609.13 = 2,025.25 : x
  2. Step 2: Convert to fraction form
    6,406.77/9,609.13 = 2,025.25/x
  3. Step 3: Cross multiply
    6,406.77x = 9,609.13 × 2,025.25
  4. Step 4: Simplify right side
    6,406.77x = 19,460,923.09
  5. Step 5: Solve for x
    x = 19,460,923.09/6,406.77
  6. Step 6: Final answer
    x = 3,037.56

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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.