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Finding the Fourth Proportional to 6,138.12, 8,472.22 and 3,782.22

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Solution

The fourth proportional to 6,138.12, 8,472.22 and 3,782.22 is: 5,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.12 : 8,472.22 = 3,782.22 : x
  2. Step 2: Convert to fraction form
    6,138.12/8,472.22 = 3,782.22/x
  3. Step 3: Cross multiply
    6,138.12x = 8,472.22 × 3,782.22
  4. Step 4: Simplify right side
    6,138.12x = 32,043,799.93
  5. Step 5: Solve for x
    x = 32,043,799.93/6,138.12
  6. Step 6: Final answer
    x = 5,220.46

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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.