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Finding the Fourth Proportional to 12,754.16, 17,601.84 and 7,450.68

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Solution

The fourth proportional to 12,754.16, 17,601.84 and 7,450.68 is: 10,282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.16 : 17,601.84 = 7,450.68 : x
  2. Step 2: Convert to fraction form
    12,754.16/17,601.84 = 7,450.68/x
  3. Step 3: Cross multiply
    12,754.16x = 17,601.84 × 7,450.68
  4. Step 4: Simplify right side
    12,754.16x = 131,145,677.25
  5. Step 5: Solve for x
    x = 131,145,677.25/12,754.16
  6. Step 6: Final answer
    x = 10,282.58

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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.