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Finding the Fourth Proportional to 12,620.56, 18,942.56 and 6,384.98

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Solution

The fourth proportional to 12,620.56, 18,942.56 and 6,384.98 is: 9,583.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,620.56 : 18,942.56 = 6,384.98 : x
  2. Step 2: Convert to fraction form
    12,620.56/18,942.56 = 6,384.98/x
  3. Step 3: Cross multiply
    12,620.56x = 18,942.56 × 6,384.98
  4. Step 4: Simplify right side
    12,620.56x = 120,947,866.75
  5. Step 5: Solve for x
    x = 120,947,866.75/12,620.56
  6. Step 6: Final answer
    x = 9,583.40

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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.