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Finding the Fourth Proportional to 8,174.48, 12,261.68 and 2,018.48

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Solution

The fourth proportional to 8,174.48, 12,261.68 and 2,018.48 is: 3,027.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.48 : 12,261.68 = 2,018.48 : x
  2. Step 2: Convert to fraction form
    8,174.48/12,261.68 = 2,018.48/x
  3. Step 3: Cross multiply
    8,174.48x = 12,261.68 × 2,018.48
  4. Step 4: Simplify right side
    8,174.48x = 24,749,955.85
  5. Step 5: Solve for x
    x = 24,749,955.85/8,174.48
  6. Step 6: Final answer
    x = 3,027.71

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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.