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Finding the Fourth Proportional to 7,092.48, 9,789.84 and 4,261.92

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Solution

The fourth proportional to 7,092.48, 9,789.84 and 4,261.92 is: 5,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.48 : 9,789.84 = 4,261.92 : x
  2. Step 2: Convert to fraction form
    7,092.48/9,789.84 = 4,261.92/x
  3. Step 3: Cross multiply
    7,092.48x = 9,789.84 × 4,261.92
  4. Step 4: Simplify right side
    7,092.48x = 41,723,514.89
  5. Step 5: Solve for x
    x = 41,723,514.89/7,092.48
  6. Step 6: Final answer
    x = 5,882.78

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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.