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Finding the Fourth Proportional to 4,974.31, 7,462.41 and 1,464.31

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Solution

The fourth proportional to 4,974.31, 7,462.41 and 1,464.31 is: 2,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.31 : 7,462.41 = 1,464.31 : x
  2. Step 2: Convert to fraction form
    4,974.31/7,462.41 = 1,464.31/x
  3. Step 3: Cross multiply
    4,974.31x = 7,462.41 × 1,464.31
  4. Step 4: Simplify right side
    4,974.31x = 10,927,257.44
  5. Step 5: Solve for x
    x = 10,927,257.44/4,974.31
  6. Step 6: Final answer
    x = 2,196.74

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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.