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Finding the Fourth Proportional to 8,473.82, 11,680.91 and 5,948.85

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Solution

The fourth proportional to 8,473.82, 11,680.91 and 5,948.85 is: 8,200.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.82 : 11,680.91 = 5,948.85 : x
  2. Step 2: Convert to fraction form
    8,473.82/11,680.91 = 5,948.85/x
  3. Step 3: Cross multiply
    8,473.82x = 11,680.91 × 5,948.85
  4. Step 4: Simplify right side
    8,473.82x = 69,487,996.33
  5. Step 5: Solve for x
    x = 69,487,996.33/8,473.82
  6. Step 6: Final answer
    x = 8,200.31

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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.