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Finding the Fourth Proportional to 12,410.70, 17,131.26 and 8,220.30

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Solution

The fourth proportional to 12,410.70, 17,131.26 and 8,220.30 is: 11,346.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.70 : 17,131.26 = 8,220.30 : x
  2. Step 2: Convert to fraction form
    12,410.70/17,131.26 = 8,220.30/x
  3. Step 3: Cross multiply
    12,410.70x = 17,131.26 × 8,220.30
  4. Step 4: Simplify right side
    12,410.70x = 140,824,096.58
  5. Step 5: Solve for x
    x = 140,824,096.58/12,410.70
  6. Step 6: Final answer
    x = 11,346.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.