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Finding the Fourth Proportional to 9,696.09, 13,375.88 and 6,339.05

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Solution

The fourth proportional to 9,696.09, 13,375.88 and 6,339.05 is: 8,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.09 : 13,375.88 = 6,339.05 : x
  2. Step 2: Convert to fraction form
    9,696.09/13,375.88 = 6,339.05/x
  3. Step 3: Cross multiply
    9,696.09x = 13,375.88 × 6,339.05
  4. Step 4: Simplify right side
    9,696.09x = 84,790,273.54
  5. Step 5: Solve for x
    x = 84,790,273.54/9,696.09
  6. Step 6: Final answer
    x = 8,744.79

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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.