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Finding the Fourth Proportional to 18,497.16, 27,744.93 and 5,349.24

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Solution

The fourth proportional to 18,497.16, 27,744.93 and 5,349.24 is: 8,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,497.16 : 27,744.93 = 5,349.24 : x
  2. Step 2: Convert to fraction form
    18,497.16/27,744.93 = 5,349.24/x
  3. Step 3: Cross multiply
    18,497.16x = 27,744.93 × 5,349.24
  4. Step 4: Simplify right side
    18,497.16x = 148,414,289.35
  5. Step 5: Solve for x
    x = 148,414,289.35/18,497.16
  6. Step 6: Final answer
    x = 8,023.63

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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.