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Finding the Fourth Proportional to 7,204.63, 9,942.39 and 3,892.63

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Solution

The fourth proportional to 7,204.63, 9,942.39 and 3,892.63 is: 5,371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.63 : 9,942.39 = 3,892.63 : x
  2. Step 2: Convert to fraction form
    7,204.63/9,942.39 = 3,892.63/x
  3. Step 3: Cross multiply
    7,204.63x = 9,942.39 × 3,892.63
  4. Step 4: Simplify right side
    7,204.63x = 38,701,976.41
  5. Step 5: Solve for x
    x = 38,701,976.41/7,204.63
  6. Step 6: Final answer
    x = 5,371.82

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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.