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Finding the Fourth Proportional to 12,822.94, 17,698.49 and 8,106.30

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Solution

The fourth proportional to 12,822.94, 17,698.49 and 8,106.30 is: 11,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.94 : 17,698.49 = 8,106.30 : x
  2. Step 2: Convert to fraction form
    12,822.94/17,698.49 = 8,106.30/x
  3. Step 3: Cross multiply
    12,822.94x = 17,698.49 × 8,106.30
  4. Step 4: Simplify right side
    12,822.94x = 143,469,269.49
  5. Step 5: Solve for x
    x = 143,469,269.49/12,822.94
  6. Step 6: Final answer
    x = 11,188.48

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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.