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Finding the Fourth Proportional to 12,267.41, 16,912.01 and 8,282.21

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Solution

The fourth proportional to 12,267.41, 16,912.01 and 8,282.21 is: 11,417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,267.41 : 16,912.01 = 8,282.21 : x
  2. Step 2: Convert to fraction form
    12,267.41/16,912.01 = 8,282.21/x
  3. Step 3: Cross multiply
    12,267.41x = 16,912.01 × 8,282.21
  4. Step 4: Simplify right side
    12,267.41x = 140,068,754.49
  5. Step 5: Solve for x
    x = 140,068,754.49/12,267.41
  6. Step 6: Final answer
    x = 11,417.96

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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.