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Finding the Fourth Proportional to 9,668.71, 13,338.07 and 6,309.97

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Solution

The fourth proportional to 9,668.71, 13,338.07 and 6,309.97 is: 8,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.71 : 13,338.07 = 6,309.97 : x
  2. Step 2: Convert to fraction form
    9,668.71/13,338.07 = 6,309.97/x
  3. Step 3: Cross multiply
    9,668.71x = 13,338.07 × 6,309.97
  4. Step 4: Simplify right side
    9,668.71x = 84,162,821.56
  5. Step 5: Solve for x
    x = 84,162,821.56/9,668.71
  6. Step 6: Final answer
    x = 8,704.66

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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.