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Finding the Fourth Proportional to 18,292.24, 27,418.92 and 7,760.08

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Solution

The fourth proportional to 18,292.24, 27,418.92 and 7,760.08 is: 11,631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,292.24 : 27,418.92 = 7,760.08 : x
  2. Step 2: Convert to fraction form
    18,292.24/27,418.92 = 7,760.08/x
  3. Step 3: Cross multiply
    18,292.24x = 27,418.92 × 7,760.08
  4. Step 4: Simplify right side
    18,292.24x = 212,773,012.71
  5. Step 5: Solve for x
    x = 212,773,012.71/18,292.24
  6. Step 6: Final answer
    x = 11,631.87

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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.