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Finding the Fourth Proportional to 6,821.70, 9,414.03 and 4,168.54

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Solution

The fourth proportional to 6,821.70, 9,414.03 and 4,168.54 is: 5,752.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.70 : 9,414.03 = 4,168.54 : x
  2. Step 2: Convert to fraction form
    6,821.70/9,414.03 = 4,168.54/x
  3. Step 3: Cross multiply
    6,821.70x = 9,414.03 × 4,168.54
  4. Step 4: Simplify right side
    6,821.70x = 39,242,760.62
  5. Step 5: Solve for x
    x = 39,242,760.62/6,821.70
  6. Step 6: Final answer
    x = 5,752.64

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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.