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Finding the Fourth Proportional to 6,850.63, 10,269.77 and 2,465

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Solution

The fourth proportional to 6,850.63, 10,269.77 and 2,465 is: 3,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.63 : 10,269.77 = 2,465 : x
  2. Step 2: Convert to fraction form
    6,850.63/10,269.77 = 2,465/x
  3. Step 3: Cross multiply
    6,850.63x = 10,269.77 × 2,465
  4. Step 4: Simplify right side
    6,850.63x = 25,314,983.05
  5. Step 5: Solve for x
    x = 25,314,983.05/6,850.63
  6. Step 6: Final answer
    x = 3,695.28

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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.