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Finding the Fourth Proportional to 4,976.81, 7,456.74 and 2,474.67

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Solution

The fourth proportional to 4,976.81, 7,456.74 and 2,474.67 is: 3,707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.81 : 7,456.74 = 2,474.67 : x
  2. Step 2: Convert to fraction form
    4,976.81/7,456.74 = 2,474.67/x
  3. Step 3: Cross multiply
    4,976.81x = 7,456.74 × 2,474.67
  4. Step 4: Simplify right side
    4,976.81x = 18,452,970.78
  5. Step 5: Solve for x
    x = 18,452,970.78/4,976.81
  6. Step 6: Final answer
    x = 3,707.79

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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.