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Finding the Fourth Proportional to 11,333.56, 16,923.94 and 9,257.64

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Solution

The fourth proportional to 11,333.56, 16,923.94 and 9,257.64 is: 13,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333.56 : 16,923.94 = 9,257.64 : x
  2. Step 2: Convert to fraction form
    11,333.56/16,923.94 = 9,257.64/x
  3. Step 3: Cross multiply
    11,333.56x = 16,923.94 × 9,257.64
  4. Step 4: Simplify right side
    11,333.56x = 156,675,743.90
  5. Step 5: Solve for x
    x = 156,675,743.90/11,333.56
  6. Step 6: Final answer
    x = 13,824.05

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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.