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Finding the Fourth Proportional to 6,310.36, 9,465 and 2,149.84

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Solution

The fourth proportional to 6,310.36, 9,465 and 2,149.84 is: 3,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.36 : 9,465 = 2,149.84 : x
  2. Step 2: Convert to fraction form
    6,310.36/9,465 = 2,149.84/x
  3. Step 3: Cross multiply
    6,310.36x = 9,465 × 2,149.84
  4. Step 4: Simplify right side
    6,310.36x = 20,348,235.60
  5. Step 5: Solve for x
    x = 20,348,235.60/6,310.36
  6. Step 6: Final answer
    x = 3,224.58

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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.