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Finding the Fourth Proportional to 12,696.84, 17,523.57 and 7,917.56

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Solution

The fourth proportional to 12,696.84, 17,523.57 and 7,917.56 is: 10,927.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.84 : 17,523.57 = 7,917.56 : x
  2. Step 2: Convert to fraction form
    12,696.84/17,523.57 = 7,917.56/x
  3. Step 3: Cross multiply
    12,696.84x = 17,523.57 × 7,917.56
  4. Step 4: Simplify right side
    12,696.84x = 138,743,924.68
  5. Step 5: Solve for x
    x = 138,743,924.68/12,696.84
  6. Step 6: Final answer
    x = 10,927.44

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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.