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Finding the Fourth Proportional to 12,824.92, 17,698.62 and 7,523.56

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Solution

The fourth proportional to 12,824.92, 17,698.62 and 7,523.56 is: 10,382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824.92 : 17,698.62 = 7,523.56 : x
  2. Step 2: Convert to fraction form
    12,824.92/17,698.62 = 7,523.56/x
  3. Step 3: Cross multiply
    12,824.92x = 17,698.62 × 7,523.56
  4. Step 4: Simplify right side
    12,824.92x = 133,156,629.49
  5. Step 5: Solve for x
    x = 133,156,629.49/12,824.92
  6. Step 6: Final answer
    x = 10,382.65

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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.