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Finding the Fourth Proportional to 6,202.54, 9,289.23 and 2,908.54

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Solution

The fourth proportional to 6,202.54, 9,289.23 and 2,908.54 is: 4,355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.54 : 9,289.23 = 2,908.54 : x
  2. Step 2: Convert to fraction form
    6,202.54/9,289.23 = 2,908.54/x
  3. Step 3: Cross multiply
    6,202.54x = 9,289.23 × 2,908.54
  4. Step 4: Simplify right side
    6,202.54x = 27,018,097.02
  5. Step 5: Solve for x
    x = 27,018,097.02/6,202.54
  6. Step 6: Final answer
    x = 4,355.97

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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.