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Finding the Fourth Proportional to 6,650.53, 9,963.34 and 5,965.88

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Solution

The fourth proportional to 6,650.53, 9,963.34 and 5,965.88 is: 8,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.53 : 9,963.34 = 5,965.88 : x
  2. Step 2: Convert to fraction form
    6,650.53/9,963.34 = 5,965.88/x
  3. Step 3: Cross multiply
    6,650.53x = 9,963.34 × 5,965.88
  4. Step 4: Simplify right side
    6,650.53x = 59,440,026.11
  5. Step 5: Solve for x
    x = 59,440,026.11/6,650.53
  6. Step 6: Final answer
    x = 8,937.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.