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Finding the Fourth Proportional to 4,648.37, 6,974.96 and 3,089.48

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Solution

The fourth proportional to 4,648.37, 6,974.96 and 3,089.48 is: 4,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.37 : 6,974.96 = 3,089.48 : x
  2. Step 2: Convert to fraction form
    4,648.37/6,974.96 = 3,089.48/x
  3. Step 3: Cross multiply
    4,648.37x = 6,974.96 × 3,089.48
  4. Step 4: Simplify right side
    4,648.37x = 21,548,949.10
  5. Step 5: Solve for x
    x = 21,548,949.10/4,648.37
  6. Step 6: Final answer
    x = 4,635.81

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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.