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Finding the Fourth Proportional to 11,712.23, 16,161 and 6,676.46

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Solution

The fourth proportional to 11,712.23, 16,161 and 6,676.46 is: 9,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.23 : 16,161 = 6,676.46 : x
  2. Step 2: Convert to fraction form
    11,712.23/16,161 = 6,676.46/x
  3. Step 3: Cross multiply
    11,712.23x = 16,161 × 6,676.46
  4. Step 4: Simplify right side
    11,712.23x = 107,898,270.06
  5. Step 5: Solve for x
    x = 107,898,270.06/11,712.23
  6. Step 6: Final answer
    x = 9,212.44

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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.