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Finding the Fourth Proportional to 11,846.66, 16,348.42 and 6,469.11

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Solution

The fourth proportional to 11,846.66, 16,348.42 and 6,469.11 is: 8,927.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.66 : 16,348.42 = 6,469.11 : x
  2. Step 2: Convert to fraction form
    11,846.66/16,348.42 = 6,469.11/x
  3. Step 3: Cross multiply
    11,846.66x = 16,348.42 × 6,469.11
  4. Step 4: Simplify right side
    11,846.66x = 105,759,727.31
  5. Step 5: Solve for x
    x = 105,759,727.31/11,846.66
  6. Step 6: Final answer
    x = 8,927.39

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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.