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Finding the Fourth Proportional to 6,296.88, 9,436.80 and 2,399.16

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Solution

The fourth proportional to 6,296.88, 9,436.80 and 2,399.16 is: 3,595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.88 : 9,436.80 = 2,399.16 : x
  2. Step 2: Convert to fraction form
    6,296.88/9,436.80 = 2,399.16/x
  3. Step 3: Cross multiply
    6,296.88x = 9,436.80 × 2,399.16
  4. Step 4: Simplify right side
    6,296.88x = 22,640,393.09
  5. Step 5: Solve for x
    x = 22,640,393.09/6,296.88
  6. Step 6: Final answer
    x = 3,595.49

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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.