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Finding the Fourth Proportional to 8,512.56, 11,742.13 and 5,990.22

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Solution

The fourth proportional to 8,512.56, 11,742.13 and 5,990.22 is: 8,262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.56 : 11,742.13 = 5,990.22 : x
  2. Step 2: Convert to fraction form
    8,512.56/11,742.13 = 5,990.22/x
  3. Step 3: Cross multiply
    8,512.56x = 11,742.13 × 5,990.22
  4. Step 4: Simplify right side
    8,512.56x = 70,337,941.97
  5. Step 5: Solve for x
    x = 70,337,941.97/8,512.56
  6. Step 6: Final answer
    x = 8,262.84

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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.