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Finding the Fourth Proportional to 10,866.86, 14,996.70 and 6,676.46

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Solution

The fourth proportional to 10,866.86, 14,996.70 and 6,676.46 is: 9,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.86 : 14,996.70 = 6,676.46 : x
  2. Step 2: Convert to fraction form
    10,866.86/14,996.70 = 6,676.46/x
  3. Step 3: Cross multiply
    10,866.86x = 14,996.70 × 6,676.46
  4. Step 4: Simplify right side
    10,866.86x = 100,124,867.68
  5. Step 5: Solve for x
    x = 100,124,867.68/10,866.86
  6. Step 6: Final answer
    x = 9,213.78

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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.