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Finding the Fourth Proportional to 8,156.01, 12,224.43 and 3,474.63

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Solution

The fourth proportional to 8,156.01, 12,224.43 and 3,474.63 is: 5,207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.01 : 12,224.43 = 3,474.63 : x
  2. Step 2: Convert to fraction form
    8,156.01/12,224.43 = 3,474.63/x
  3. Step 3: Cross multiply
    8,156.01x = 12,224.43 × 3,474.63
  4. Step 4: Simplify right side
    8,156.01x = 42,475,371.21
  5. Step 5: Solve for x
    x = 42,475,371.21/8,156.01
  6. Step 6: Final answer
    x = 5,207.86

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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.