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Finding the Fourth Proportional to 12,735.90, 19,115.49 and 6,500.37

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Solution

The fourth proportional to 12,735.90, 19,115.49 and 6,500.37 is: 9,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.90 : 19,115.49 = 6,500.37 : x
  2. Step 2: Convert to fraction form
    12,735.90/19,115.49 = 6,500.37/x
  3. Step 3: Cross multiply
    12,735.90x = 19,115.49 × 6,500.37
  4. Step 4: Simplify right side
    12,735.90x = 124,257,757.73
  5. Step 5: Solve for x
    x = 124,257,757.73/12,735.90
  6. Step 6: Final answer
    x = 9,756.50

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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.