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Finding the Fourth Proportional to 6,974.78, 9,629.70 and 4,325

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Solution

The fourth proportional to 6,974.78, 9,629.70 and 4,325 is: 5,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.78 : 9,629.70 = 4,325 : x
  2. Step 2: Convert to fraction form
    6,974.78/9,629.70 = 4,325/x
  3. Step 3: Cross multiply
    6,974.78x = 9,629.70 × 4,325
  4. Step 4: Simplify right side
    6,974.78x = 41,648,452.50
  5. Step 5: Solve for x
    x = 41,648,452.50/6,974.78
  6. Step 6: Final answer
    x = 5,971.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.