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Finding the Fourth Proportional to 18,224.50, 27,322.08 and 7,843.54

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Solution

The fourth proportional to 18,224.50, 27,322.08 and 7,843.54 is: 11,759.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,224.50 : 27,322.08 = 7,843.54 : x
  2. Step 2: Convert to fraction form
    18,224.50/27,322.08 = 7,843.54/x
  3. Step 3: Cross multiply
    18,224.50x = 27,322.08 × 7,843.54
  4. Step 4: Simplify right side
    18,224.50x = 214,301,827.36
  5. Step 5: Solve for x
    x = 214,301,827.36/18,224.50
  6. Step 6: Final answer
    x = 11,759.00

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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.