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Finding the Fourth Proportional to 4,951.98, 7,427.97 and 1,665.09

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Solution

The fourth proportional to 4,951.98, 7,427.97 and 1,665.09 is: 2,497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.98 : 7,427.97 = 1,665.09 : x
  2. Step 2: Convert to fraction form
    4,951.98/7,427.97 = 1,665.09/x
  3. Step 3: Cross multiply
    4,951.98x = 7,427.97 × 1,665.09
  4. Step 4: Simplify right side
    4,951.98x = 12,368,238.57
  5. Step 5: Solve for x
    x = 12,368,238.57/4,951.98
  6. Step 6: Final answer
    x = 2,497.64

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Similar ratio
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1.5x scale

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.