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Finding the Fourth Proportional to 6,337.34, 8,743.38 and 3,682.56

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Solution

The fourth proportional to 6,337.34, 8,743.38 and 3,682.56 is: 5,080.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.34 : 8,743.38 = 3,682.56 : x
  2. Step 2: Convert to fraction form
    6,337.34/8,743.38 = 3,682.56/x
  3. Step 3: Cross multiply
    6,337.34x = 8,743.38 × 3,682.56
  4. Step 4: Simplify right side
    6,337.34x = 32,198,021.45
  5. Step 5: Solve for x
    x = 32,198,021.45/6,337.34
  6. Step 6: Final answer
    x = 5,080.68

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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.