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Finding the Fourth Proportional to 7,013.54, 9,682.20 and 4,361.81

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Solution

The fourth proportional to 7,013.54, 9,682.20 and 4,361.81 is: 6,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.54 : 9,682.20 = 4,361.81 : x
  2. Step 2: Convert to fraction form
    7,013.54/9,682.20 = 4,361.81/x
  3. Step 3: Cross multiply
    7,013.54x = 9,682.20 × 4,361.81
  4. Step 4: Simplify right side
    7,013.54x = 42,231,846.56
  5. Step 5: Solve for x
    x = 42,231,846.56/7,013.54
  6. Step 6: Final answer
    x = 6,021.47

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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.