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Finding the Fourth Proportional to 9,209.97, 13,824.62 and 8,162.49

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Solution

The fourth proportional to 9,209.97, 13,824.62 and 8,162.49 is: 12,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.97 : 13,824.62 = 8,162.49 : x
  2. Step 2: Convert to fraction form
    9,209.97/13,824.62 = 8,162.49/x
  3. Step 3: Cross multiply
    9,209.97x = 13,824.62 × 8,162.49
  4. Step 4: Simplify right side
    9,209.97x = 112,843,322.50
  5. Step 5: Solve for x
    x = 112,843,322.50/9,209.97
  6. Step 6: Final answer
    x = 12,252.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.