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Finding the Fourth Proportional to 8,028.09, 12,027.56 and 7,853.13

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Solution

The fourth proportional to 8,028.09, 12,027.56 and 7,853.13 is: 11,765.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.09 : 12,027.56 = 7,853.13 : x
  2. Step 2: Convert to fraction form
    8,028.09/12,027.56 = 7,853.13/x
  3. Step 3: Cross multiply
    8,028.09x = 12,027.56 × 7,853.13
  4. Step 4: Simplify right side
    8,028.09x = 94,453,953.00
  5. Step 5: Solve for x
    x = 94,453,953.00/8,028.09
  6. Step 6: Final answer
    x = 11,765.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.