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Finding the Fourth Proportional to 12,422.80, 18,601.80 and 9,809.20

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Solution

The fourth proportional to 12,422.80, 18,601.80 and 9,809.20 is: 14,688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.80 : 18,601.80 = 9,809.20 : x
  2. Step 2: Convert to fraction form
    12,422.80/18,601.80 = 9,809.20/x
  3. Step 3: Cross multiply
    12,422.80x = 18,601.80 × 9,809.20
  4. Step 4: Simplify right side
    12,422.80x = 182,468,776.56
  5. Step 5: Solve for x
    x = 182,468,776.56/12,422.80
  6. Step 6: Final answer
    x = 14,688.22

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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.