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Finding the Fourth Proportional to 6,536.96, 9,020.64 and 3,742.64

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Solution

The fourth proportional to 6,536.96, 9,020.64 and 3,742.64 is: 5,164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.96 : 9,020.64 = 3,742.64 : x
  2. Step 2: Convert to fraction form
    6,536.96/9,020.64 = 3,742.64/x
  3. Step 3: Cross multiply
    6,536.96x = 9,020.64 × 3,742.64
  4. Step 4: Simplify right side
    6,536.96x = 33,761,008.09
  5. Step 5: Solve for x
    x = 33,761,008.09/6,536.96
  6. Step 6: Final answer
    x = 5,164.63

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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.