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Finding the Fourth Proportional to 12,236.50, 16,886.37 and 6,647.50

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Solution

The fourth proportional to 12,236.50, 16,886.37 and 6,647.50 is: 9,173.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,236.50 : 16,886.37 = 6,647.50 : x
  2. Step 2: Convert to fraction form
    12,236.50/16,886.37 = 6,647.50/x
  3. Step 3: Cross multiply
    12,236.50x = 16,886.37 × 6,647.50
  4. Step 4: Simplify right side
    12,236.50x = 112,252,144.58
  5. Step 5: Solve for x
    x = 112,252,144.58/12,236.50
  6. Step 6: Final answer
    x = 9,173.55

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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.