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Finding the Fourth Proportional to 8,174.86, 12,269.99 and 4,282

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Solution

The fourth proportional to 8,174.86, 12,269.99 and 4,282 is: 6,427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.86 : 12,269.99 = 4,282 : x
  2. Step 2: Convert to fraction form
    8,174.86/12,269.99 = 4,282/x
  3. Step 3: Cross multiply
    8,174.86x = 12,269.99 × 4,282
  4. Step 4: Simplify right side
    8,174.86x = 52,540,097.18
  5. Step 5: Solve for x
    x = 52,540,097.18/8,174.86
  6. Step 6: Final answer
    x = 6,427.03

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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.