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Finding the Fourth Proportional to 8,192.58, 12,292.88 and 3,813.09

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Solution

The fourth proportional to 8,192.58, 12,292.88 and 3,813.09 is: 5,721.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.58 : 12,292.88 = 3,813.09 : x
  2. Step 2: Convert to fraction form
    8,192.58/12,292.88 = 3,813.09/x
  3. Step 3: Cross multiply
    8,192.58x = 12,292.88 × 3,813.09
  4. Step 4: Simplify right side
    8,192.58x = 46,873,838.73
  5. Step 5: Solve for x
    x = 46,873,838.73/8,192.58
  6. Step 6: Final answer
    x = 5,721.50

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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.