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Finding the Fourth Proportional to 12,203.44, 18,305.16 and 2,969.44

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Solution

The fourth proportional to 12,203.44, 18,305.16 and 2,969.44 is: 4,454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.44 : 18,305.16 = 2,969.44 : x
  2. Step 2: Convert to fraction form
    12,203.44/18,305.16 = 2,969.44/x
  3. Step 3: Cross multiply
    12,203.44x = 18,305.16 × 2,969.44
  4. Step 4: Simplify right side
    12,203.44x = 54,356,017.41
  5. Step 5: Solve for x
    x = 54,356,017.41/12,203.44
  6. Step 6: Final answer
    x = 4,454.16

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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.