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Finding the Fourth Proportional to 9,682.74, 14,523.80 and 2,757.24

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Solution

The fourth proportional to 9,682.74, 14,523.80 and 2,757.24 is: 4,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.74 : 14,523.80 = 2,757.24 : x
  2. Step 2: Convert to fraction form
    9,682.74/14,523.80 = 2,757.24/x
  3. Step 3: Cross multiply
    9,682.74x = 14,523.80 × 2,757.24
  4. Step 4: Simplify right side
    9,682.74x = 40,045,602.31
  5. Step 5: Solve for x
    x = 40,045,602.31/9,682.74
  6. Step 6: Final answer
    x = 4,135.77

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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.