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Finding the Fourth Proportional to 18,584.16, 27,879.48 and 9,224.76

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Solution

The fourth proportional to 18,584.16, 27,879.48 and 9,224.76 is: 13,838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,584.16 : 27,879.48 = 9,224.76 : x
  2. Step 2: Convert to fraction form
    18,584.16/27,879.48 = 9,224.76/x
  3. Step 3: Cross multiply
    18,584.16x = 27,879.48 × 9,224.76
  4. Step 4: Simplify right side
    18,584.16x = 257,181,511.92
  5. Step 5: Solve for x
    x = 257,181,511.92/18,584.16
  6. Step 6: Final answer
    x = 13,838.75

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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.