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Finding the Fourth Proportional to 17,283.76, 25,928.14 and 7,422.96

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Solution

The fourth proportional to 17,283.76, 25,928.14 and 7,422.96 is: 11,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,283.76 : 25,928.14 = 7,422.96 : x
  2. Step 2: Convert to fraction form
    17,283.76/25,928.14 = 7,422.96/x
  3. Step 3: Cross multiply
    17,283.76x = 25,928.14 × 7,422.96
  4. Step 4: Simplify right side
    17,283.76x = 192,463,546.09
  5. Step 5: Solve for x
    x = 192,463,546.09/17,283.76
  6. Step 6: Final answer
    x = 11,135.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.