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Finding the Fourth Proportional to 3,666.97, 5,500.37 and 893.67

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Solution

The fourth proportional to 3,666.97, 5,500.37 and 893.67 is: 1,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.97 : 5,500.37 = 893.67 : x
  2. Step 2: Convert to fraction form
    3,666.97/5,500.37 = 893.67/x
  3. Step 3: Cross multiply
    3,666.97x = 5,500.37 × 893.67
  4. Step 4: Simplify right side
    3,666.97x = 4,915,497.27
  5. Step 5: Solve for x
    x = 4,915,497.27/3,666.97
  6. Step 6: Final answer
    x = 1,340.48

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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.