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Finding the Fourth Proportional to 5,966.46, 8,234.16 and 4,198.68

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Solution

The fourth proportional to 5,966.46, 8,234.16 and 4,198.68 is: 5,794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.46 : 8,234.16 = 4,198.68 : x
  2. Step 2: Convert to fraction form
    5,966.46/8,234.16 = 4,198.68/x
  3. Step 3: Cross multiply
    5,966.46x = 8,234.16 × 4,198.68
  4. Step 4: Simplify right side
    5,966.46x = 34,572,602.91
  5. Step 5: Solve for x
    x = 34,572,602.91/5,966.46
  6. Step 6: Final answer
    x = 5,794.49

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Similar ratio
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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.