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Finding the Fourth Proportional to 5,626.12, 7,764.99 and 3,269.63

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Solution

The fourth proportional to 5,626.12, 7,764.99 and 3,269.63 is: 4,512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.12 : 7,764.99 = 3,269.63 : x
  2. Step 2: Convert to fraction form
    5,626.12/7,764.99 = 3,269.63/x
  3. Step 3: Cross multiply
    5,626.12x = 7,764.99 × 3,269.63
  4. Step 4: Simplify right side
    5,626.12x = 25,388,644.25
  5. Step 5: Solve for x
    x = 25,388,644.25/5,626.12
  6. Step 6: Final answer
    x = 4,512.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.