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Finding the Fourth Proportional to 18,297.86, 27,441.27 and 7,767.65

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Solution

The fourth proportional to 18,297.86, 27,441.27 and 7,767.65 is: 11,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,297.86 : 27,441.27 = 7,767.65 : x
  2. Step 2: Convert to fraction form
    18,297.86/27,441.27 = 7,767.65/x
  3. Step 3: Cross multiply
    18,297.86x = 27,441.27 × 7,767.65
  4. Step 4: Simplify right side
    18,297.86x = 213,154,180.92
  5. Step 5: Solve for x
    x = 213,154,180.92/18,297.86
  6. Step 6: Final answer
    x = 11,649.13

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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.