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Finding the Fourth Proportional to 4,975.14, 7,446.75 and 3,305.43

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Solution

The fourth proportional to 4,975.14, 7,446.75 and 3,305.43 is: 4,947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.14 : 7,446.75 = 3,305.43 : x
  2. Step 2: Convert to fraction form
    4,975.14/7,446.75 = 3,305.43/x
  3. Step 3: Cross multiply
    4,975.14x = 7,446.75 × 3,305.43
  4. Step 4: Simplify right side
    4,975.14x = 24,614,710.85
  5. Step 5: Solve for x
    x = 24,614,710.85/4,975.14
  6. Step 6: Final answer
    x = 4,947.54

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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.