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Finding the Fourth Proportional to 8,144.01, 11,238.48 and 4,418.01

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Solution

The fourth proportional to 8,144.01, 11,238.48 and 4,418.01 is: 6,096.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.01 : 11,238.48 = 4,418.01 : x
  2. Step 2: Convert to fraction form
    8,144.01/11,238.48 = 4,418.01/x
  3. Step 3: Cross multiply
    8,144.01x = 11,238.48 × 4,418.01
  4. Step 4: Simplify right side
    8,144.01x = 49,651,717.02
  5. Step 5: Solve for x
    x = 49,651,717.02/8,144.01
  6. Step 6: Final answer
    x = 6,096.72

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.