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Finding the Fourth Proportional to 6,468.26, 9,696.63 and 3,003.62

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Solution

The fourth proportional to 6,468.26, 9,696.63 and 3,003.62 is: 4,502.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.26 : 9,696.63 = 3,003.62 : x
  2. Step 2: Convert to fraction form
    6,468.26/9,696.63 = 3,003.62/x
  3. Step 3: Cross multiply
    6,468.26x = 9,696.63 × 3,003.62
  4. Step 4: Simplify right side
    6,468.26x = 29,124,991.80
  5. Step 5: Solve for x
    x = 29,124,991.80/6,468.26
  6. Step 6: Final answer
    x = 4,502.76

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1.5x scale

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.