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Finding the Fourth Proportional to 6,984.34, 9,638.22 and 3,797.56

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Solution

The fourth proportional to 6,984.34, 9,638.22 and 3,797.56 is: 5,240.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.34 : 9,638.22 = 3,797.56 : x
  2. Step 2: Convert to fraction form
    6,984.34/9,638.22 = 3,797.56/x
  3. Step 3: Cross multiply
    6,984.34x = 9,638.22 × 3,797.56
  4. Step 4: Simplify right side
    6,984.34x = 36,601,718.74
  5. Step 5: Solve for x
    x = 36,601,718.74/6,984.34
  6. Step 6: Final answer
    x = 5,240.54

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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.