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Finding the Fourth Proportional to 12,267.25, 16,928.63 and 7,231.68

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Solution

The fourth proportional to 12,267.25, 16,928.63 and 7,231.68 is: 9,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,267.25 : 16,928.63 = 7,231.68 : x
  2. Step 2: Convert to fraction form
    12,267.25/16,928.63 = 7,231.68/x
  3. Step 3: Cross multiply
    12,267.25x = 16,928.63 × 7,231.68
  4. Step 4: Simplify right side
    12,267.25x = 122,422,425.96
  5. Step 5: Solve for x
    x = 122,422,425.96/12,267.25
  6. Step 6: Final answer
    x = 9,979.62

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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.