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Finding the Fourth Proportional to 6,967.62, 10,453.23 and 3,269.16

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Solution

The fourth proportional to 6,967.62, 10,453.23 and 3,269.16 is: 4,904.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.62 : 10,453.23 = 3,269.16 : x
  2. Step 2: Convert to fraction form
    6,967.62/10,453.23 = 3,269.16/x
  3. Step 3: Cross multiply
    6,967.62x = 10,453.23 × 3,269.16
  4. Step 4: Simplify right side
    6,967.62x = 34,173,281.39
  5. Step 5: Solve for x
    x = 34,173,281.39/6,967.62
  6. Step 6: Final answer
    x = 4,904.58

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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.