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Finding the Fourth Proportional to 15,224.25, 22,839.26 and 7,016.25

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Solution

The fourth proportional to 15,224.25, 22,839.26 and 7,016.25 is: 10,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,224.25 : 22,839.26 = 7,016.25 : x
  2. Step 2: Convert to fraction form
    15,224.25/22,839.26 = 7,016.25/x
  3. Step 3: Cross multiply
    15,224.25x = 22,839.26 × 7,016.25
  4. Step 4: Simplify right side
    15,224.25x = 160,245,922.89
  5. Step 5: Solve for x
    x = 160,245,922.89/15,224.25
  6. Step 6: Final answer
    x = 10,525.70

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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.