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Finding the Fourth Proportional to 22,786.06, 34,157.22 and 7,193.02

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Solution

The fourth proportional to 22,786.06, 34,157.22 and 7,193.02 is: 10,782.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,786.06 : 34,157.22 = 7,193.02 : x
  2. Step 2: Convert to fraction form
    22,786.06/34,157.22 = 7,193.02/x
  3. Step 3: Cross multiply
    22,786.06x = 34,157.22 × 7,193.02
  4. Step 4: Simplify right side
    22,786.06x = 245,693,566.60
  5. Step 5: Solve for x
    x = 245,693,566.60/22,786.06
  6. Step 6: Final answer
    x = 10,782.63

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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.