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Finding the Fourth Proportional to 8,092.44, 11,167.61 and 4,734.59

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Solution

The fourth proportional to 8,092.44, 11,167.61 and 4,734.59 is: 6,533.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.44 : 11,167.61 = 4,734.59 : x
  2. Step 2: Convert to fraction form
    8,092.44/11,167.61 = 4,734.59/x
  3. Step 3: Cross multiply
    8,092.44x = 11,167.61 × 4,734.59
  4. Step 4: Simplify right side
    8,092.44x = 52,873,975.12
  5. Step 5: Solve for x
    x = 52,873,975.12/8,092.44
  6. Step 6: Final answer
    x = 6,533.75

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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.