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Finding the Fourth Proportional to 6,671.46, 9,206.75 and 3,687.42

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Solution

The fourth proportional to 6,671.46, 9,206.75 and 3,687.42 is: 5,088.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.46 : 9,206.75 = 3,687.42 : x
  2. Step 2: Convert to fraction form
    6,671.46/9,206.75 = 3,687.42/x
  3. Step 3: Cross multiply
    6,671.46x = 9,206.75 × 3,687.42
  4. Step 4: Simplify right side
    6,671.46x = 33,949,135.65
  5. Step 5: Solve for x
    x = 33,949,135.65/6,671.46
  6. Step 6: Final answer
    x = 5,088.71

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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.