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Finding the Fourth Proportional to 9,761.68, 14,664.60 and 6,994.48

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Solution

The fourth proportional to 9,761.68, 14,664.60 and 6,994.48 is: 10,507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.68 : 14,664.60 = 6,994.48 : x
  2. Step 2: Convert to fraction form
    9,761.68/14,664.60 = 6,994.48/x
  3. Step 3: Cross multiply
    9,761.68x = 14,664.60 × 6,994.48
  4. Step 4: Simplify right side
    9,761.68x = 102,571,251.41
  5. Step 5: Solve for x
    x = 102,571,251.41/9,761.68
  6. Step 6: Final answer
    x = 10,507.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.