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Finding the Fourth Proportional to 6,299.50, 9,450.94 and 5,610.88

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Solution

The fourth proportional to 6,299.50, 9,450.94 and 5,610.88 is: 8,417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.50 : 9,450.94 = 5,610.88 : x
  2. Step 2: Convert to fraction form
    6,299.50/9,450.94 = 5,610.88/x
  3. Step 3: Cross multiply
    6,299.50x = 9,450.94 × 5,610.88
  4. Step 4: Simplify right side
    6,299.50x = 53,028,090.23
  5. Step 5: Solve for x
    x = 53,028,090.23/6,299.50
  6. Step 6: Final answer
    x = 8,417.83

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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.