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Finding the Fourth Proportional to 27,872.76, 41,804.67 and 9,152.43

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Solution

The fourth proportional to 27,872.76, 41,804.67 and 9,152.43 is: 13,727.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.76 : 41,804.67 = 9,152.43 : x
  2. Step 2: Convert to fraction form
    27,872.76/41,804.67 = 9,152.43/x
  3. Step 3: Cross multiply
    27,872.76x = 41,804.67 × 9,152.43
  4. Step 4: Simplify right side
    27,872.76x = 382,614,315.85
  5. Step 5: Solve for x
    x = 382,614,315.85/27,872.76
  6. Step 6: Final answer
    x = 13,727.18

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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.