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Finding the Fourth Proportional to 12,194.56, 16,813.20 and 9,954.16

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Solution

The fourth proportional to 12,194.56, 16,813.20 and 9,954.16 is: 13,724.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.56 : 16,813.20 = 9,954.16 : x
  2. Step 2: Convert to fraction form
    12,194.56/16,813.20 = 9,954.16/x
  3. Step 3: Cross multiply
    12,194.56x = 16,813.20 × 9,954.16
  4. Step 4: Simplify right side
    12,194.56x = 167,361,282.91
  5. Step 5: Solve for x
    x = 167,361,282.91/12,194.56
  6. Step 6: Final answer
    x = 13,724.26

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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.