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Finding the Fourth Proportional to 7,497.98, 11,247.28 and 1,951.81

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Solution

The fourth proportional to 7,497.98, 11,247.28 and 1,951.81 is: 2,927.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.98 : 11,247.28 = 1,951.81 : x
  2. Step 2: Convert to fraction form
    7,497.98/11,247.28 = 1,951.81/x
  3. Step 3: Cross multiply
    7,497.98x = 11,247.28 × 1,951.81
  4. Step 4: Simplify right side
    7,497.98x = 21,952,520.58
  5. Step 5: Solve for x
    x = 21,952,520.58/7,497.98
  6. Step 6: Final answer
    x = 2,927.79

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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.