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Finding the Fourth Proportional to 5,997.38, 8,274.56 and 4,738.64

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Solution

The fourth proportional to 5,997.38, 8,274.56 and 4,738.64 is: 6,537.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.38 : 8,274.56 = 4,738.64 : x
  2. Step 2: Convert to fraction form
    5,997.38/8,274.56 = 4,738.64/x
  3. Step 3: Cross multiply
    5,997.38x = 8,274.56 × 4,738.64
  4. Step 4: Simplify right side
    5,997.38x = 39,210,095.93
  5. Step 5: Solve for x
    x = 39,210,095.93/5,997.38
  6. Step 6: Final answer
    x = 6,537.88

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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.