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Finding the Fourth Proportional to 8,114.92, 12,170.01 and 2,848.97

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Solution

The fourth proportional to 8,114.92, 12,170.01 and 2,848.97 is: 4,272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.92 : 12,170.01 = 2,848.97 : x
  2. Step 2: Convert to fraction form
    8,114.92/12,170.01 = 2,848.97/x
  3. Step 3: Cross multiply
    8,114.92x = 12,170.01 × 2,848.97
  4. Step 4: Simplify right side
    8,114.92x = 34,672,034.50
  5. Step 5: Solve for x
    x = 34,672,034.50/8,114.92
  6. Step 6: Final answer
    x = 4,272.63

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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.