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Finding the Fourth Proportional to 6,344.83, 9,496.54 and 5,738.59

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Solution

The fourth proportional to 6,344.83, 9,496.54 and 5,738.59 is: 8,589.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.83 : 9,496.54 = 5,738.59 : x
  2. Step 2: Convert to fraction form
    6,344.83/9,496.54 = 5,738.59/x
  3. Step 3: Cross multiply
    6,344.83x = 9,496.54 × 5,738.59
  4. Step 4: Simplify right side
    6,344.83x = 54,496,732.91
  5. Step 5: Solve for x
    x = 54,496,732.91/6,344.83
  6. Step 6: Final answer
    x = 8,589.16

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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.