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Finding the Fourth Proportional to 9,228.69, 13,772.41 and 8,243.73

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Solution

The fourth proportional to 9,228.69, 13,772.41 and 8,243.73 is: 12,302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.69 : 13,772.41 = 8,243.73 : x
  2. Step 2: Convert to fraction form
    9,228.69/13,772.41 = 8,243.73/x
  3. Step 3: Cross multiply
    9,228.69x = 13,772.41 × 8,243.73
  4. Step 4: Simplify right side
    9,228.69x = 113,536,008.88
  5. Step 5: Solve for x
    x = 113,536,008.88/9,228.69
  6. Step 6: Final answer
    x = 12,302.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.