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Finding the Fourth Proportional to 18,323.71, 27,467.10 and 7,226.10

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Solution

The fourth proportional to 18,323.71, 27,467.10 and 7,226.10 is: 10,831.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,323.71 : 27,467.10 = 7,226.10 : x
  2. Step 2: Convert to fraction form
    18,323.71/27,467.10 = 7,226.10/x
  3. Step 3: Cross multiply
    18,323.71x = 27,467.10 × 7,226.10
  4. Step 4: Simplify right side
    18,323.71x = 198,480,011.31
  5. Step 5: Solve for x
    x = 198,480,011.31/18,323.71
  6. Step 6: Final answer
    x = 10,831.87

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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.