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Finding the Fourth Proportional to 6,393.32, 9,589.74 and 2,233.31

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Solution

The fourth proportional to 6,393.32, 9,589.74 and 2,233.31 is: 3,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.32 : 9,589.74 = 2,233.31 : x
  2. Step 2: Convert to fraction form
    6,393.32/9,589.74 = 2,233.31/x
  3. Step 3: Cross multiply
    6,393.32x = 9,589.74 × 2,233.31
  4. Step 4: Simplify right side
    6,393.32x = 21,416,814.29
  5. Step 5: Solve for x
    x = 21,416,814.29/6,393.32
  6. Step 6: Final answer
    x = 3,349.88

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1.5x scale

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.