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Finding the Fourth Proportional to 6,885.38, 9,501.84 and 3,741.59

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Solution

The fourth proportional to 6,885.38, 9,501.84 and 3,741.59 is: 5,163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.38 : 9,501.84 = 3,741.59 : x
  2. Step 2: Convert to fraction form
    6,885.38/9,501.84 = 3,741.59/x
  3. Step 3: Cross multiply
    6,885.38x = 9,501.84 × 3,741.59
  4. Step 4: Simplify right side
    6,885.38x = 35,551,942.02
  5. Step 5: Solve for x
    x = 35,551,942.02/6,885.38
  6. Step 6: Final answer
    x = 5,163.40

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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.