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Finding the Fourth Proportional to 13,529, 18,670.02 and 8,222.83

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Solution

The fourth proportional to 13,529, 18,670.02 and 8,222.83 is: 11,347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,529 : 18,670.02 = 8,222.83 : x
  2. Step 2: Convert to fraction form
    13,529/18,670.02 = 8,222.83/x
  3. Step 3: Cross multiply
    13,529x = 18,670.02 × 8,222.83
  4. Step 4: Simplify right side
    13,529x = 153,520,400.56
  5. Step 5: Solve for x
    x = 153,520,400.56/13,529
  6. Step 6: Final answer
    x = 11,347.51

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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.