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Finding the Fourth Proportional to 5,136.94, 7,697.94 and 4,092.22

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Solution

The fourth proportional to 5,136.94, 7,697.94 and 4,092.22 is: 6,132.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.94 : 7,697.94 = 4,092.22 : x
  2. Step 2: Convert to fraction form
    5,136.94/7,697.94 = 4,092.22/x
  3. Step 3: Cross multiply
    5,136.94x = 7,697.94 × 4,092.22
  4. Step 4: Simplify right side
    5,136.94x = 31,501,664.03
  5. Step 5: Solve for x
    x = 31,501,664.03/5,136.94
  6. Step 6: Final answer
    x = 6,132.38

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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.