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Finding the Fourth Proportional to 7,197.72, 9,912.99 and 6,202.64

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Solution

The fourth proportional to 7,197.72, 9,912.99 and 6,202.64 is: 8,542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.72 : 9,912.99 = 6,202.64 : x
  2. Step 2: Convert to fraction form
    7,197.72/9,912.99 = 6,202.64/x
  3. Step 3: Cross multiply
    7,197.72x = 9,912.99 × 6,202.64
  4. Step 4: Simplify right side
    7,197.72x = 61,486,708.29
  5. Step 5: Solve for x
    x = 61,486,708.29/7,197.72
  6. Step 6: Final answer
    x = 8,542.53

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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.