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Finding the Fourth Proportional to 5,462.67, 8,194.17 and 1,714.83

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Solution

The fourth proportional to 5,462.67, 8,194.17 and 1,714.83 is: 2,572.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.67 : 8,194.17 = 1,714.83 : x
  2. Step 2: Convert to fraction form
    5,462.67/8,194.17 = 1,714.83/x
  3. Step 3: Cross multiply
    5,462.67x = 8,194.17 × 1,714.83
  4. Step 4: Simplify right side
    5,462.67x = 14,051,608.54
  5. Step 5: Solve for x
    x = 14,051,608.54/5,462.67
  6. Step 6: Final answer
    x = 2,572.30

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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.