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Finding the Fourth Proportional to 4,892.24, 6,747.96 and 3,213.68

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Solution

The fourth proportional to 4,892.24, 6,747.96 and 3,213.68 is: 4,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.24 : 6,747.96 = 3,213.68 : x
  2. Step 2: Convert to fraction form
    4,892.24/6,747.96 = 3,213.68/x
  3. Step 3: Cross multiply
    4,892.24x = 6,747.96 × 3,213.68
  4. Step 4: Simplify right side
    4,892.24x = 21,685,784.09
  5. Step 5: Solve for x
    x = 21,685,784.09/4,892.24
  6. Step 6: Final answer
    x = 4,432.69

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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.