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Finding the Fourth Proportional to 4,977.72, 7,467.03 and 1,857.60

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Solution

The fourth proportional to 4,977.72, 7,467.03 and 1,857.60 is: 2,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.72 : 7,467.03 = 1,857.60 : x
  2. Step 2: Convert to fraction form
    4,977.72/7,467.03 = 1,857.60/x
  3. Step 3: Cross multiply
    4,977.72x = 7,467.03 × 1,857.60
  4. Step 4: Simplify right side
    4,977.72x = 13,870,754.93
  5. Step 5: Solve for x
    x = 13,870,754.93/4,977.72
  6. Step 6: Final answer
    x = 2,786.57

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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.