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Finding the Fourth Proportional to 5,566.75, 7,682.36 and 3,082.75

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Solution

The fourth proportional to 5,566.75, 7,682.36 and 3,082.75 is: 4,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.75 : 7,682.36 = 3,082.75 : x
  2. Step 2: Convert to fraction form
    5,566.75/7,682.36 = 3,082.75/x
  3. Step 3: Cross multiply
    5,566.75x = 7,682.36 × 3,082.75
  4. Step 4: Simplify right side
    5,566.75x = 23,682,795.29
  5. Step 5: Solve for x
    x = 23,682,795.29/5,566.75
  6. Step 6: Final answer
    x = 4,254.33

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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.