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Finding the Fourth Proportional to 6,393.03, 9,589.59 and 2,233.02

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Solution

The fourth proportional to 6,393.03, 9,589.59 and 2,233.02 is: 3,349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.03 : 9,589.59 = 2,233.02 : x
  2. Step 2: Convert to fraction form
    6,393.03/9,589.59 = 2,233.02/x
  3. Step 3: Cross multiply
    6,393.03x = 9,589.59 × 2,233.02
  4. Step 4: Simplify right side
    6,393.03x = 21,413,746.26
  5. Step 5: Solve for x
    x = 21,413,746.26/6,393.03
  6. Step 6: Final answer
    x = 3,349.55

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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.