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Finding the Fourth Proportional to 6,671.65, 9,206.93 and 3,687.41

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Solution

The fourth proportional to 6,671.65, 9,206.93 and 3,687.41 is: 5,088.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.65 : 9,206.93 = 3,687.41 : x
  2. Step 2: Convert to fraction form
    6,671.65/9,206.93 = 3,687.41/x
  3. Step 3: Cross multiply
    6,671.65x = 9,206.93 × 3,687.41
  4. Step 4: Simplify right side
    6,671.65x = 33,949,725.75
  5. Step 5: Solve for x
    x = 33,949,725.75/6,671.65
  6. Step 6: Final answer
    x = 5,088.66

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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.