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Finding the Fourth Proportional to 12,624.80, 17,433.24 and 7,917.20

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Solution

The fourth proportional to 12,624.80, 17,433.24 and 7,917.20 is: 10,932.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,624.80 : 17,433.24 = 7,917.20 : x
  2. Step 2: Convert to fraction form
    12,624.80/17,433.24 = 7,917.20/x
  3. Step 3: Cross multiply
    12,624.80x = 17,433.24 × 7,917.20
  4. Step 4: Simplify right side
    12,624.80x = 138,022,447.73
  5. Step 5: Solve for x
    x = 138,022,447.73/12,624.80
  6. Step 6: Final answer
    x = 10,932.64

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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.