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Finding the Fourth Proportional to 12,203.83, 18,297.54 and 4,804.48

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Solution

The fourth proportional to 12,203.83, 18,297.54 and 4,804.48 is: 7,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.83 : 18,297.54 = 4,804.48 : x
  2. Step 2: Convert to fraction form
    12,203.83/18,297.54 = 4,804.48/x
  3. Step 3: Cross multiply
    12,203.83x = 18,297.54 × 4,804.48
  4. Step 4: Simplify right side
    12,203.83x = 87,910,049.47
  5. Step 5: Solve for x
    x = 87,910,049.47/12,203.83
  6. Step 6: Final answer
    x = 7,203.48

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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.