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Finding the Fourth Proportional to 5,202.63, 7,794.50 and 3,006.72

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Solution

The fourth proportional to 5,202.63, 7,794.50 and 3,006.72 is: 4,504.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.63 : 7,794.50 = 3,006.72 : x
  2. Step 2: Convert to fraction form
    5,202.63/7,794.50 = 3,006.72/x
  3. Step 3: Cross multiply
    5,202.63x = 7,794.50 × 3,006.72
  4. Step 4: Simplify right side
    5,202.63x = 23,435,864.01
  5. Step 5: Solve for x
    x = 23,435,864.01/5,202.63
  6. Step 6: Final answer
    x = 4,504.62

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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.