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Finding the Fourth Proportional to 12,524.92, 17,284.34 and 6,935.92

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Solution

The fourth proportional to 12,524.92, 17,284.34 and 6,935.92 is: 9,571.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.92 : 17,284.34 = 6,935.92 : x
  2. Step 2: Convert to fraction form
    12,524.92/17,284.34 = 6,935.92/x
  3. Step 3: Cross multiply
    12,524.92x = 17,284.34 × 6,935.92
  4. Step 4: Simplify right side
    12,524.92x = 119,882,799.49
  5. Step 5: Solve for x
    x = 119,882,799.49/12,524.92
  6. Step 6: Final answer
    x = 9,571.54

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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.