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Finding the Fourth Proportional to 9,422.42, 12,993.90 and 6,234.26

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Solution

The fourth proportional to 9,422.42, 12,993.90 and 6,234.26 is: 8,597.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.42 : 12,993.90 = 6,234.26 : x
  2. Step 2: Convert to fraction form
    9,422.42/12,993.90 = 6,234.26/x
  3. Step 3: Cross multiply
    9,422.42x = 12,993.90 × 6,234.26
  4. Step 4: Simplify right side
    9,422.42x = 81,007,351.01
  5. Step 5: Solve for x
    x = 81,007,351.01/9,422.42
  6. Step 6: Final answer
    x = 8,597.30

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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.