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Finding the Fourth Proportional to 8,512.98, 11,738.22 and 5,994.29

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Solution

The fourth proportional to 8,512.98, 11,738.22 and 5,994.29 is: 8,265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.98 : 11,738.22 = 5,994.29 : x
  2. Step 2: Convert to fraction form
    8,512.98/11,738.22 = 5,994.29/x
  3. Step 3: Cross multiply
    8,512.98x = 11,738.22 × 5,994.29
  4. Step 4: Simplify right side
    8,512.98x = 70,362,236.07
  5. Step 5: Solve for x
    x = 70,362,236.07/8,512.98
  6. Step 6: Final answer
    x = 8,265.29

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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.