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Finding the Fourth Proportional to 12,190.41, 16,822.75 and 6,601.41

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Solution

The fourth proportional to 12,190.41, 16,822.75 and 6,601.41 is: 9,109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.41 : 16,822.75 = 6,601.41 : x
  2. Step 2: Convert to fraction form
    12,190.41/16,822.75 = 6,601.41/x
  3. Step 3: Cross multiply
    12,190.41x = 16,822.75 × 6,601.41
  4. Step 4: Simplify right side
    12,190.41x = 111,053,870.08
  5. Step 5: Solve for x
    x = 111,053,870.08/12,190.41
  6. Step 6: Final answer
    x = 9,109.94

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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.