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Finding the Fourth Proportional to 4,974.82, 7,462.23 and 2,014.09

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Solution

The fourth proportional to 4,974.82, 7,462.23 and 2,014.09 is: 3,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.82 : 7,462.23 = 2,014.09 : x
  2. Step 2: Convert to fraction form
    4,974.82/7,462.23 = 2,014.09/x
  3. Step 3: Cross multiply
    4,974.82x = 7,462.23 × 2,014.09
  4. Step 4: Simplify right side
    4,974.82x = 15,029,602.82
  5. Step 5: Solve for x
    x = 15,029,602.82/4,974.82
  6. Step 6: Final answer
    x = 3,021.14

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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.