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Finding the Fourth Proportional to 6,265.25, 9,389.62 and 2,563.25

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Solution

The fourth proportional to 6,265.25, 9,389.62 and 2,563.25 is: 3,841.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.25 : 9,389.62 = 2,563.25 : x
  2. Step 2: Convert to fraction form
    6,265.25/9,389.62 = 2,563.25/x
  3. Step 3: Cross multiply
    6,265.25x = 9,389.62 × 2,563.25
  4. Step 4: Simplify right side
    6,265.25x = 24,067,899.72
  5. Step 5: Solve for x
    x = 24,067,899.72/6,265.25
  6. Step 6: Final answer
    x = 3,841.49

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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.