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Finding the Fourth Proportional to 19,896.97, 29,843.19 and 5,106.22

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Solution

The fourth proportional to 19,896.97, 29,843.19 and 5,106.22 is: 7,658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,896.97 : 29,843.19 = 5,106.22 : x
  2. Step 2: Convert to fraction form
    19,896.97/29,843.19 = 5,106.22/x
  3. Step 3: Cross multiply
    19,896.97x = 29,843.19 × 5,106.22
  4. Step 4: Simplify right side
    19,896.97x = 152,385,893.64
  5. Step 5: Solve for x
    x = 152,385,893.64/19,896.97
  6. Step 6: Final answer
    x = 7,658.75

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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.