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Finding the Fourth Proportional to 4,786.74, 7,172.34 and 4,606.92

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Solution

The fourth proportional to 4,786.74, 7,172.34 and 4,606.92 is: 6,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.74 : 7,172.34 = 4,606.92 : x
  2. Step 2: Convert to fraction form
    4,786.74/7,172.34 = 4,606.92/x
  3. Step 3: Cross multiply
    4,786.74x = 7,172.34 × 4,606.92
  4. Step 4: Simplify right side
    4,786.74x = 33,042,396.59
  5. Step 5: Solve for x
    x = 33,042,396.59/4,786.74
  6. Step 6: Final answer
    x = 6,902.90

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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.