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Finding the Fourth Proportional to 6,000.17, 8,274.09 and 3,982.87

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Solution

The fourth proportional to 6,000.17, 8,274.09 and 3,982.87 is: 5,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.17 : 8,274.09 = 3,982.87 : x
  2. Step 2: Convert to fraction form
    6,000.17/8,274.09 = 3,982.87/x
  3. Step 3: Cross multiply
    6,000.17x = 8,274.09 × 3,982.87
  4. Step 4: Simplify right side
    6,000.17x = 32,954,622.11
  5. Step 5: Solve for x
    x = 32,954,622.11/6,000.17
  6. Step 6: Final answer
    x = 5,492.28

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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.