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Finding the Fourth Proportional to 12,420.46, 17,134.22 and 7,381.12

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Solution

The fourth proportional to 12,420.46, 17,134.22 and 7,381.12 is: 10,182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,420.46 : 17,134.22 = 7,381.12 : x
  2. Step 2: Convert to fraction form
    12,420.46/17,134.22 = 7,381.12/x
  3. Step 3: Cross multiply
    12,420.46x = 17,134.22 × 7,381.12
  4. Step 4: Simplify right side
    12,420.46x = 126,469,651.96
  5. Step 5: Solve for x
    x = 126,469,651.96/12,420.46
  6. Step 6: Final answer
    x = 10,182.36

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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.