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Finding the Fourth Proportional to 4,687.70, 6,468.09 and 2,591.42

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Solution

The fourth proportional to 4,687.70, 6,468.09 and 2,591.42 is: 3,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.70 : 6,468.09 = 2,591.42 : x
  2. Step 2: Convert to fraction form
    4,687.70/6,468.09 = 2,591.42/x
  3. Step 3: Cross multiply
    4,687.70x = 6,468.09 × 2,591.42
  4. Step 4: Simplify right side
    4,687.70x = 16,761,537.79
  5. Step 5: Solve for x
    x = 16,761,537.79/4,687.70
  6. Step 6: Final answer
    x = 3,575.64

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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.