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Finding the Fourth Proportional to 6,961.21, 9,607.41 and 4,274.02

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Solution

The fourth proportional to 6,961.21, 9,607.41 and 4,274.02 is: 5,898.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.21 : 9,607.41 = 4,274.02 : x
  2. Step 2: Convert to fraction form
    6,961.21/9,607.41 = 4,274.02/x
  3. Step 3: Cross multiply
    6,961.21x = 9,607.41 × 4,274.02
  4. Step 4: Simplify right side
    6,961.21x = 41,062,262.49
  5. Step 5: Solve for x
    x = 41,062,262.49/6,961.21
  6. Step 6: Final answer
    x = 5,898.72

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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.