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Finding the Fourth Proportional to 9,796.41, 13,467.03 and 8,428.68

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Solution

The fourth proportional to 9,796.41, 13,467.03 and 8,428.68 is: 11,586.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.41 : 13,467.03 = 8,428.68 : x
  2. Step 2: Convert to fraction form
    9,796.41/13,467.03 = 8,428.68/x
  3. Step 3: Cross multiply
    9,796.41x = 13,467.03 × 8,428.68
  4. Step 4: Simplify right side
    9,796.41x = 113,509,286.42
  5. Step 5: Solve for x
    x = 113,509,286.42/9,796.41
  6. Step 6: Final answer
    x = 11,586.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.