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Finding the Fourth Proportional to 6,082.78, 9,105.06 and 4,197.64

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Solution

The fourth proportional to 6,082.78, 9,105.06 and 4,197.64 is: 6,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.78 : 9,105.06 = 4,197.64 : x
  2. Step 2: Convert to fraction form
    6,082.78/9,105.06 = 4,197.64/x
  3. Step 3: Cross multiply
    6,082.78x = 9,105.06 × 4,197.64
  4. Step 4: Simplify right side
    6,082.78x = 38,219,764.06
  5. Step 5: Solve for x
    x = 38,219,764.06/6,082.78
  6. Step 6: Final answer
    x = 6,283.27

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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.