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Finding the Fourth Proportional to 9,227.71, 13,903.84 and 7,620.27

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Solution

The fourth proportional to 9,227.71, 13,903.84 and 7,620.27 is: 11,481.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.71 : 13,903.84 = 7,620.27 : x
  2. Step 2: Convert to fraction form
    9,227.71/13,903.84 = 7,620.27/x
  3. Step 3: Cross multiply
    9,227.71x = 13,903.84 × 7,620.27
  4. Step 4: Simplify right side
    9,227.71x = 105,951,014.84
  5. Step 5: Solve for x
    x = 105,951,014.84/9,227.71
  6. Step 6: Final answer
    x = 11,481.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.