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Finding the Fourth Proportional to 6,468.87, 9,704.19 and 2,958.06

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Solution

The fourth proportional to 6,468.87, 9,704.19 and 2,958.06 is: 4,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.87 : 9,704.19 = 2,958.06 : x
  2. Step 2: Convert to fraction form
    6,468.87/9,704.19 = 2,958.06/x
  3. Step 3: Cross multiply
    6,468.87x = 9,704.19 × 2,958.06
  4. Step 4: Simplify right side
    6,468.87x = 28,705,576.27
  5. Step 5: Solve for x
    x = 28,705,576.27/6,468.87
  6. Step 6: Final answer
    x = 4,437.49

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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.