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Finding the Fourth Proportional to 5,462.16, 8,193.80 and 2,174.80

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Solution

The fourth proportional to 5,462.16, 8,193.80 and 2,174.80 is: 3,262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.16 : 8,193.80 = 2,174.80 : x
  2. Step 2: Convert to fraction form
    5,462.16/8,193.80 = 2,174.80/x
  3. Step 3: Cross multiply
    5,462.16x = 8,193.80 × 2,174.80
  4. Step 4: Simplify right side
    5,462.16x = 17,819,876.24
  5. Step 5: Solve for x
    x = 17,819,876.24/5,462.16
  6. Step 6: Final answer
    x = 3,262.42

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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.