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Finding the Fourth Proportional to 22,559.61, 33,838.17 and 7,768.20

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Solution

The fourth proportional to 22,559.61, 33,838.17 and 7,768.20 is: 11,651.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,559.61 : 33,838.17 = 7,768.20 : x
  2. Step 2: Convert to fraction form
    22,559.61/33,838.17 = 7,768.20/x
  3. Step 3: Cross multiply
    22,559.61x = 33,838.17 × 7,768.20
  4. Step 4: Simplify right side
    22,559.61x = 262,861,672.19
  5. Step 5: Solve for x
    x = 262,861,672.19/22,559.61
  6. Step 6: Final answer
    x = 11,651.87

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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.