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Finding the Fourth Proportional to 11,201.52, 15,454.94 and 7,224.96

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Solution

The fourth proportional to 11,201.52, 15,454.94 and 7,224.96 is: 9,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.52 : 15,454.94 = 7,224.96 : x
  2. Step 2: Convert to fraction form
    11,201.52/15,454.94 = 7,224.96/x
  3. Step 3: Cross multiply
    11,201.52x = 15,454.94 × 7,224.96
  4. Step 4: Simplify right side
    11,201.52x = 111,661,287.18
  5. Step 5: Solve for x
    x = 111,661,287.18/11,201.52
  6. Step 6: Final answer
    x = 9,968.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.