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Finding the Fourth Proportional to 27,872.64, 41,809.23 and 7,096.14

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Solution

The fourth proportional to 27,872.64, 41,809.23 and 7,096.14 is: 10,644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.64 : 41,809.23 = 7,096.14 : x
  2. Step 2: Convert to fraction form
    27,872.64/41,809.23 = 7,096.14/x
  3. Step 3: Cross multiply
    27,872.64x = 41,809.23 × 7,096.14
  4. Step 4: Simplify right side
    27,872.64x = 296,684,149.37
  5. Step 5: Solve for x
    x = 296,684,149.37/27,872.64
  6. Step 6: Final answer
    x = 10,644.28

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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.