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Finding the Fourth Proportional to 9,227.61, 13,842.12 and 2,654.31

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Solution

The fourth proportional to 9,227.61, 13,842.12 and 2,654.31 is: 3,981.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.61 : 13,842.12 = 2,654.31 : x
  2. Step 2: Convert to fraction form
    9,227.61/13,842.12 = 2,654.31/x
  3. Step 3: Cross multiply
    9,227.61x = 13,842.12 × 2,654.31
  4. Step 4: Simplify right side
    9,227.61x = 36,741,277.54
  5. Step 5: Solve for x
    x = 36,741,277.54/9,227.61
  6. Step 6: Final answer
    x = 3,981.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.