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Finding the Fourth Proportional to 6,687.91, 9,230.85 and 4,449.88

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Solution

The fourth proportional to 6,687.91, 9,230.85 and 4,449.88 is: 6,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.91 : 9,230.85 = 4,449.88 : x
  2. Step 2: Convert to fraction form
    6,687.91/9,230.85 = 4,449.88/x
  3. Step 3: Cross multiply
    6,687.91x = 9,230.85 × 4,449.88
  4. Step 4: Simplify right side
    6,687.91x = 41,076,106.39
  5. Step 5: Solve for x
    x = 41,076,106.39/6,687.91
  6. Step 6: Final answer
    x = 6,141.85

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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.