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Finding the Fourth Proportional to 8,291.31, 11,422.54 and 5,769.08

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Solution

The fourth proportional to 8,291.31, 11,422.54 and 5,769.08 is: 7,947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.31 : 11,422.54 = 5,769.08 : x
  2. Step 2: Convert to fraction form
    8,291.31/11,422.54 = 5,769.08/x
  3. Step 3: Cross multiply
    8,291.31x = 11,422.54 × 5,769.08
  4. Step 4: Simplify right side
    8,291.31x = 65,897,540.00
  5. Step 5: Solve for x
    x = 65,897,540.00/8,291.31
  6. Step 6: Final answer
    x = 7,947.79

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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.