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Finding the Fourth Proportional to 9,696.09, 13,384.00 and 5,716.94

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Solution

The fourth proportional to 9,696.09, 13,384.00 and 5,716.94 is: 7,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.09 : 13,384.00 = 5,716.94 : x
  2. Step 2: Convert to fraction form
    9,696.09/13,384.00 = 5,716.94/x
  3. Step 3: Cross multiply
    9,696.09x = 13,384.00 × 5,716.94
  4. Step 4: Simplify right side
    9,696.09x = 76,515,544.13
  5. Step 5: Solve for x
    x = 76,515,544.13/9,696.09
  6. Step 6: Final answer
    x = 7,891.38

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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.