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Finding the Fourth Proportional to 8,018, 12,026.97 and 2,174.60

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Solution

The fourth proportional to 8,018, 12,026.97 and 2,174.60 is: 3,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,018 : 12,026.97 = 2,174.60 : x
  2. Step 2: Convert to fraction form
    8,018/12,026.97 = 2,174.60/x
  3. Step 3: Cross multiply
    8,018x = 12,026.97 × 2,174.60
  4. Step 4: Simplify right side
    8,018x = 26,153,848.96
  5. Step 5: Solve for x
    x = 26,153,848.96/8,018
  6. Step 6: Final answer
    x = 3,261.89

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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.