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Finding the Fourth Proportional to 12,638.86, 18,944.94 and 4,736.20

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Solution

The fourth proportional to 12,638.86, 18,944.94 and 4,736.20 is: 7,099.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.86 : 18,944.94 = 4,736.20 : x
  2. Step 2: Convert to fraction form
    12,638.86/18,944.94 = 4,736.20/x
  3. Step 3: Cross multiply
    12,638.86x = 18,944.94 × 4,736.20
  4. Step 4: Simplify right side
    12,638.86x = 89,727,024.83
  5. Step 5: Solve for x
    x = 89,727,024.83/12,638.86
  6. Step 6: Final answer
    x = 7,099.30

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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.