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Finding the Fourth Proportional to 7,963.67, 11,946.94 and 6,495.90

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Solution

The fourth proportional to 7,963.67, 11,946.94 and 6,495.90 is: 9,745.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.67 : 11,946.94 = 6,495.90 : x
  2. Step 2: Convert to fraction form
    7,963.67/11,946.94 = 6,495.90/x
  3. Step 3: Cross multiply
    7,963.67x = 11,946.94 × 6,495.90
  4. Step 4: Simplify right side
    7,963.67x = 77,606,127.55
  5. Step 5: Solve for x
    x = 77,606,127.55/7,963.67
  6. Step 6: Final answer
    x = 9,745.02

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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.