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Finding the Fourth Proportional to 9,662.68, 13,336.77 and 6,299.62

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Solution

The fourth proportional to 9,662.68, 13,336.77 and 6,299.62 is: 8,694.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.68 : 13,336.77 = 6,299.62 : x
  2. Step 2: Convert to fraction form
    9,662.68/13,336.77 = 6,299.62/x
  3. Step 3: Cross multiply
    9,662.68x = 13,336.77 × 6,299.62
  4. Step 4: Simplify right side
    9,662.68x = 84,016,583.03
  5. Step 5: Solve for x
    x = 84,016,583.03/9,662.68
  6. Step 6: Final answer
    x = 8,694.96

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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.