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Finding the Fourth Proportional to 5,462.65, 8,193.43 and 2,174.86

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Solution

The fourth proportional to 5,462.65, 8,193.43 and 2,174.86 is: 3,262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.65 : 8,193.43 = 2,174.86 : x
  2. Step 2: Convert to fraction form
    5,462.65/8,193.43 = 2,174.86/x
  3. Step 3: Cross multiply
    5,462.65x = 8,193.43 × 2,174.86
  4. Step 4: Simplify right side
    5,462.65x = 17,819,563.17
  5. Step 5: Solve for x
    x = 17,819,563.17/5,462.65
  6. Step 6: Final answer
    x = 3,262.07

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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.