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Finding the Fourth Proportional to 12,524.63, 18,770.37 and 6,589.37

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Solution

The fourth proportional to 12,524.63, 18,770.37 and 6,589.37 is: 9,875.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.63 : 18,770.37 = 6,589.37 : x
  2. Step 2: Convert to fraction form
    12,524.63/18,770.37 = 6,589.37/x
  3. Step 3: Cross multiply
    12,524.63x = 18,770.37 × 6,589.37
  4. Step 4: Simplify right side
    12,524.63x = 123,684,912.97
  5. Step 5: Solve for x
    x = 123,684,912.97/12,524.63
  6. Step 6: Final answer
    x = 9,875.33

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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.