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Finding the Fourth Proportional to 9,227.52, 13,841.25 and 7,369.92

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Solution

The fourth proportional to 9,227.52, 13,841.25 and 7,369.92 is: 11,054.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.52 : 13,841.25 = 7,369.92 : x
  2. Step 2: Convert to fraction form
    9,227.52/13,841.25 = 7,369.92/x
  3. Step 3: Cross multiply
    9,227.52x = 13,841.25 × 7,369.92
  4. Step 4: Simplify right side
    9,227.52x = 102,008,905.20
  5. Step 5: Solve for x
    x = 102,008,905.20/9,227.52
  6. Step 6: Final answer
    x = 11,054.86

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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.