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Finding the Fourth Proportional to 11,456.80, 17,182.80 and 5,617.60

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Solution

The fourth proportional to 11,456.80, 17,182.80 and 5,617.60 is: 8,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.80 : 17,182.80 = 5,617.60 : x
  2. Step 2: Convert to fraction form
    11,456.80/17,182.80 = 5,617.60/x
  3. Step 3: Cross multiply
    11,456.80x = 17,182.80 × 5,617.60
  4. Step 4: Simplify right side
    11,456.80x = 96,526,097.28
  5. Step 5: Solve for x
    x = 96,526,097.28/11,456.80
  6. Step 6: Final answer
    x = 8,425.22

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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.