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Finding the Fourth Proportional to 6,391.56, 9,588.77 and 2,496

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Solution

The fourth proportional to 6,391.56, 9,588.77 and 2,496 is: 3,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.56 : 9,588.77 = 2,496 : x
  2. Step 2: Convert to fraction form
    6,391.56/9,588.77 = 2,496/x
  3. Step 3: Cross multiply
    6,391.56x = 9,588.77 × 2,496
  4. Step 4: Simplify right side
    6,391.56x = 23,933,557.44
  5. Step 5: Solve for x
    x = 23,933,557.44/6,391.56
  6. Step 6: Final answer
    x = 3,744.56

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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.