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Finding the Fourth Proportional to 3,297.97, 4,947.44 and 957.67

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Solution

The fourth proportional to 3,297.97, 4,947.44 and 957.67 is: 1,436.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.97 : 4,947.44 = 957.67 : x
  2. Step 2: Convert to fraction form
    3,297.97/4,947.44 = 957.67/x
  3. Step 3: Cross multiply
    3,297.97x = 4,947.44 × 957.67
  4. Step 4: Simplify right side
    3,297.97x = 4,738,014.86
  5. Step 5: Solve for x
    x = 4,738,014.86/3,297.97
  6. Step 6: Final answer
    x = 1,436.65

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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.