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Finding the Fourth Proportional to 6,376.26, 9,565.20 and 1,993.98

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Solution

The fourth proportional to 6,376.26, 9,565.20 and 1,993.98 is: 2,991.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.26 : 9,565.20 = 1,993.98 : x
  2. Step 2: Convert to fraction form
    6,376.26/9,565.20 = 1,993.98/x
  3. Step 3: Cross multiply
    6,376.26x = 9,565.20 × 1,993.98
  4. Step 4: Simplify right side
    6,376.26x = 19,072,817.50
  5. Step 5: Solve for x
    x = 19,072,817.50/6,376.26
  6. Step 6: Final answer
    x = 2,991.22

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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.