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Finding the Fourth Proportional to 6,149.44, 8,494.23 and 4,974.94

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Solution

The fourth proportional to 6,149.44, 8,494.23 and 4,974.94 is: 6,871.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.44 : 8,494.23 = 4,974.94 : x
  2. Step 2: Convert to fraction form
    6,149.44/8,494.23 = 4,974.94/x
  3. Step 3: Cross multiply
    6,149.44x = 8,494.23 × 4,974.94
  4. Step 4: Simplify right side
    6,149.44x = 42,258,284.60
  5. Step 5: Solve for x
    x = 42,258,284.60/6,149.44
  6. Step 6: Final answer
    x = 6,871.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.