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Finding the Fourth Proportional to 11,757.56, 17,619.75 and 6,494.94

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Solution

The fourth proportional to 11,757.56, 17,619.75 and 6,494.94 is: 9,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.56 : 17,619.75 = 6,494.94 : x
  2. Step 2: Convert to fraction form
    11,757.56/17,619.75 = 6,494.94/x
  3. Step 3: Cross multiply
    11,757.56x = 17,619.75 × 6,494.94
  4. Step 4: Simplify right side
    11,757.56x = 114,439,219.07
  5. Step 5: Solve for x
    x = 114,439,219.07/11,757.56
  6. Step 6: Final answer
    x = 9,733.25

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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.