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Finding the Fourth Proportional to 4,138.38, 6,213.74 and 4,064.58

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Solution

The fourth proportional to 4,138.38, 6,213.74 and 4,064.58 is: 6,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.38 : 6,213.74 = 4,064.58 : x
  2. Step 2: Convert to fraction form
    4,138.38/6,213.74 = 4,064.58/x
  3. Step 3: Cross multiply
    4,138.38x = 6,213.74 × 4,064.58
  4. Step 4: Simplify right side
    4,138.38x = 25,256,223.01
  5. Step 5: Solve for x
    x = 25,256,223.01/4,138.38
  6. Step 6: Final answer
    x = 6,102.93

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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.