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Finding the Fourth Proportional to 8,192.60, 11,305.84 and 4,789.82

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Solution

The fourth proportional to 8,192.60, 11,305.84 and 4,789.82 is: 6,609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.60 : 11,305.84 = 4,789.82 : x
  2. Step 2: Convert to fraction form
    8,192.60/11,305.84 = 4,789.82/x
  3. Step 3: Cross multiply
    8,192.60x = 11,305.84 × 4,789.82
  4. Step 4: Simplify right side
    8,192.60x = 54,152,938.55
  5. Step 5: Solve for x
    x = 54,152,938.55/8,192.60
  6. Step 6: Final answer
    x = 6,609.98

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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.