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Finding the Fourth Proportional to 5,866.75, 8,096.12 and 3,214.17

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Solution

The fourth proportional to 5,866.75, 8,096.12 and 3,214.17 is: 4,435.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.75 : 8,096.12 = 3,214.17 : x
  2. Step 2: Convert to fraction form
    5,866.75/8,096.12 = 3,214.17/x
  3. Step 3: Cross multiply
    5,866.75x = 8,096.12 × 3,214.17
  4. Step 4: Simplify right side
    5,866.75x = 26,022,306.02
  5. Step 5: Solve for x
    x = 26,022,306.02/5,866.75
  6. Step 6: Final answer
    x = 4,435.56

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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.