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Finding the Fourth Proportional to 6,344.92, 8,757.63 and 4,224.01

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Solution

The fourth proportional to 6,344.92, 8,757.63 and 4,224.01 is: 5,830.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.92 : 8,757.63 = 4,224.01 : x
  2. Step 2: Convert to fraction form
    6,344.92/8,757.63 = 4,224.01/x
  3. Step 3: Cross multiply
    6,344.92x = 8,757.63 × 4,224.01
  4. Step 4: Simplify right side
    6,344.92x = 36,992,316.70
  5. Step 5: Solve for x
    x = 36,992,316.70/6,344.92
  6. Step 6: Final answer
    x = 5,830.23

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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.