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Finding the Fourth Proportional to 12,185.97, 16,820.42 and 8,212.92

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Solution

The fourth proportional to 12,185.97, 16,820.42 and 8,212.92 is: 11,336.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.97 : 16,820.42 = 8,212.92 : x
  2. Step 2: Convert to fraction form
    12,185.97/16,820.42 = 8,212.92/x
  3. Step 3: Cross multiply
    12,185.97x = 16,820.42 × 8,212.92
  4. Step 4: Simplify right side
    12,185.97x = 138,144,763.83
  5. Step 5: Solve for x
    x = 138,144,763.83/12,185.97
  6. Step 6: Final answer
    x = 11,336.38

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Half scale
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Double scale
Find fourth proportional to 12,186.97, 16,821.80 and 8,213.92
Similar ratio
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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.