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Finding the Fourth Proportional to 6,136.54, 9,202.70 and 1,975.54

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Solution

The fourth proportional to 6,136.54, 9,202.70 and 1,975.54 is: 2,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.54 : 9,202.70 = 1,975.54 : x
  2. Step 2: Convert to fraction form
    6,136.54/9,202.70 = 1,975.54/x
  3. Step 3: Cross multiply
    6,136.54x = 9,202.70 × 1,975.54
  4. Step 4: Simplify right side
    6,136.54x = 18,180,301.96
  5. Step 5: Solve for x
    x = 18,180,301.96/6,136.54
  6. Step 6: Final answer
    x = 2,962.63

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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.