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Finding the Fourth Proportional to 9,224.94, 13,837.41 and 8,304.36

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Solution

The fourth proportional to 9,224.94, 13,837.41 and 8,304.36 is: 12,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.94 : 13,837.41 = 8,304.36 : x
  2. Step 2: Convert to fraction form
    9,224.94/13,837.41 = 8,304.36/x
  3. Step 3: Cross multiply
    9,224.94x = 13,837.41 × 8,304.36
  4. Step 4: Simplify right side
    9,224.94x = 114,910,834.11
  5. Step 5: Solve for x
    x = 114,910,834.11/9,224.94
  6. Step 6: Final answer
    x = 12,456.54

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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.