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Finding the Fourth Proportional to 6,453.84, 8,906.22 and 3,659.16

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Solution

The fourth proportional to 6,453.84, 8,906.22 and 3,659.16 is: 5,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.84 : 8,906.22 = 3,659.16 : x
  2. Step 2: Convert to fraction form
    6,453.84/8,906.22 = 3,659.16/x
  3. Step 3: Cross multiply
    6,453.84x = 8,906.22 × 3,659.16
  4. Step 4: Simplify right side
    6,453.84x = 32,589,283.98
  5. Step 5: Solve for x
    x = 32,589,283.98/6,453.84
  6. Step 6: Final answer
    x = 5,049.60

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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.