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Finding the Fourth Proportional to 12,672.72, 18,970.20 and 6,814.80

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Solution

The fourth proportional to 12,672.72, 18,970.20 and 6,814.80 is: 10,201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,672.72 : 18,970.20 = 6,814.80 : x
  2. Step 2: Convert to fraction form
    12,672.72/18,970.20 = 6,814.80/x
  3. Step 3: Cross multiply
    12,672.72x = 18,970.20 × 6,814.80
  4. Step 4: Simplify right side
    12,672.72x = 129,278,118.96
  5. Step 5: Solve for x
    x = 129,278,118.96/12,672.72
  6. Step 6: Final answer
    x = 10,201.29

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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.