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Finding the Fourth Proportional to 6,411.97, 8,846.16 and 3,758.41

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Solution

The fourth proportional to 6,411.97, 8,846.16 and 3,758.41 is: 5,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.97 : 8,846.16 = 3,758.41 : x
  2. Step 2: Convert to fraction form
    6,411.97/8,846.16 = 3,758.41/x
  3. Step 3: Cross multiply
    6,411.97x = 8,846.16 × 3,758.41
  4. Step 4: Simplify right side
    6,411.97x = 33,247,496.21
  5. Step 5: Solve for x
    x = 33,247,496.21/6,411.97
  6. Step 6: Final answer
    x = 5,185.22

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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.