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Finding the Fourth Proportional to 11,846.41, 16,348.17 and 6,541.22

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Solution

The fourth proportional to 11,846.41, 16,348.17 and 6,541.22 is: 9,026.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.41 : 16,348.17 = 6,541.22 : x
  2. Step 2: Convert to fraction form
    11,846.41/16,348.17 = 6,541.22/x
  3. Step 3: Cross multiply
    11,846.41x = 16,348.17 × 6,541.22
  4. Step 4: Simplify right side
    11,846.41x = 106,936,976.57
  5. Step 5: Solve for x
    x = 106,936,976.57/11,846.41
  6. Step 6: Final answer
    x = 9,026.95

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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.