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Finding the Fourth Proportional to 6,329.43, 8,731.89 and 4,234.23

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Solution

The fourth proportional to 6,329.43, 8,731.89 and 4,234.23 is: 5,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.43 : 8,731.89 = 4,234.23 : x
  2. Step 2: Convert to fraction form
    6,329.43/8,731.89 = 4,234.23/x
  3. Step 3: Cross multiply
    6,329.43x = 8,731.89 × 4,234.23
  4. Step 4: Simplify right side
    6,329.43x = 36,972,830.59
  5. Step 5: Solve for x
    x = 36,972,830.59/6,329.43
  6. Step 6: Final answer
    x = 5,841.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.