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Finding the Fourth Proportional to 12,346.80, 18,496.94 and 6,099.50

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Solution

The fourth proportional to 12,346.80, 18,496.94 and 6,099.50 is: 9,137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.80 : 18,496.94 = 6,099.50 : x
  2. Step 2: Convert to fraction form
    12,346.80/18,496.94 = 6,099.50/x
  3. Step 3: Cross multiply
    12,346.80x = 18,496.94 × 6,099.50
  4. Step 4: Simplify right side
    12,346.80x = 112,821,962.55
  5. Step 5: Solve for x
    x = 112,821,962.55/12,346.80
  6. Step 6: Final answer
    x = 9,137.75

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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.