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Finding the Fourth Proportional to 7,974.66, 11,957.96 and 4,643.98

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Solution

The fourth proportional to 7,974.66, 11,957.96 and 4,643.98 is: 6,963.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.66 : 11,957.96 = 4,643.98 : x
  2. Step 2: Convert to fraction form
    7,974.66/11,957.96 = 4,643.98/x
  3. Step 3: Cross multiply
    7,974.66x = 11,957.96 × 4,643.98
  4. Step 4: Simplify right side
    7,974.66x = 55,532,553.64
  5. Step 5: Solve for x
    x = 55,532,553.64/7,974.66
  6. Step 6: Final answer
    x = 6,963.63

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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.