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Finding the Fourth Proportional to 6,136.50, 8,468.37 and 3,342

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Solution

The fourth proportional to 6,136.50, 8,468.37 and 3,342 is: 4,611.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.50 : 8,468.37 = 3,342 : x
  2. Step 2: Convert to fraction form
    6,136.50/8,468.37 = 3,342/x
  3. Step 3: Cross multiply
    6,136.50x = 8,468.37 × 3,342
  4. Step 4: Simplify right side
    6,136.50x = 28,301,292.54
  5. Step 5: Solve for x
    x = 28,301,292.54/6,136.50
  6. Step 6: Final answer
    x = 4,611.96

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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.