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Finding the Fourth Proportional to 7,896.97, 10,897.82 and 4,540.44

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Solution

The fourth proportional to 7,896.97, 10,897.82 and 4,540.44 is: 6,265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.97 : 10,897.82 = 4,540.44 : x
  2. Step 2: Convert to fraction form
    7,896.97/10,897.82 = 4,540.44/x
  3. Step 3: Cross multiply
    7,896.97x = 10,897.82 × 4,540.44
  4. Step 4: Simplify right side
    7,896.97x = 49,480,913.73
  5. Step 5: Solve for x
    x = 49,480,913.73/7,896.97
  6. Step 6: Final answer
    x = 6,265.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.