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Finding the Fourth Proportional to 6,538.96, 9,023.40 and 3,744.64

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Solution

The fourth proportional to 6,538.96, 9,023.40 and 3,744.64 is: 5,167.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.96 : 9,023.40 = 3,744.64 : x
  2. Step 2: Convert to fraction form
    6,538.96/9,023.40 = 3,744.64/x
  3. Step 3: Cross multiply
    6,538.96x = 9,023.40 × 3,744.64
  4. Step 4: Simplify right side
    6,538.96x = 33,789,384.58
  5. Step 5: Solve for x
    x = 33,789,384.58/6,538.96
  6. Step 6: Final answer
    x = 5,167.39

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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.