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Finding the Fourth Proportional to 8,191.97, 11,304.95 and 4,789.17

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Solution

The fourth proportional to 8,191.97, 11,304.95 and 4,789.17 is: 6,609.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.97 : 11,304.95 = 4,789.17 : x
  2. Step 2: Convert to fraction form
    8,191.97/11,304.95 = 4,789.17/x
  3. Step 3: Cross multiply
    8,191.97x = 11,304.95 × 4,789.17
  4. Step 4: Simplify right side
    8,191.97x = 54,141,327.39
  5. Step 5: Solve for x
    x = 54,141,327.39/8,191.97
  6. Step 6: Final answer
    x = 6,609.07

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Double scale
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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.