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Finding the Fourth Proportional to 22,841.78, 34,255.38 and 7,255.76

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Solution

The fourth proportional to 22,841.78, 34,255.38 and 7,255.76 is: 10,881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,841.78 : 34,255.38 = 7,255.76 : x
  2. Step 2: Convert to fraction form
    22,841.78/34,255.38 = 7,255.76/x
  3. Step 3: Cross multiply
    22,841.78x = 34,255.38 × 7,255.76
  4. Step 4: Simplify right side
    22,841.78x = 248,548,815.99
  5. Step 5: Solve for x
    x = 248,548,815.99/22,841.78
  6. Step 6: Final answer
    x = 10,881.32

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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.