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Finding the Fourth Proportional to 22,768.58, 34,168.22 and 7,977.63

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Solution

The fourth proportional to 22,768.58, 34,168.22 and 7,977.63 is: 11,971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,768.58 : 34,168.22 = 7,977.63 : x
  2. Step 2: Convert to fraction form
    22,768.58/34,168.22 = 7,977.63/x
  3. Step 3: Cross multiply
    22,768.58x = 34,168.22 × 7,977.63
  4. Step 4: Simplify right side
    22,768.58x = 272,581,535.08
  5. Step 5: Solve for x
    x = 272,581,535.08/22,768.58
  6. Step 6: Final answer
    x = 11,971.83

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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.