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Finding the Fourth Proportional to 5,997.46, 8,997.12 and 1,838.06

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Solution

The fourth proportional to 5,997.46, 8,997.12 and 1,838.06 is: 2,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.46 : 8,997.12 = 1,838.06 : x
  2. Step 2: Convert to fraction form
    5,997.46/8,997.12 = 1,838.06/x
  3. Step 3: Cross multiply
    5,997.46x = 8,997.12 × 1,838.06
  4. Step 4: Simplify right side
    5,997.46x = 16,537,246.39
  5. Step 5: Solve for x
    x = 16,537,246.39/5,997.46
  6. Step 6: Final answer
    x = 2,757.38

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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.