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Finding the Fourth Proportional to 12,203.36, 16,839.90 and 6,825.36

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Solution

The fourth proportional to 12,203.36, 16,839.90 and 6,825.36 is: 9,418.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.36 : 16,839.90 = 6,825.36 : x
  2. Step 2: Convert to fraction form
    12,203.36/16,839.90 = 6,825.36/x
  3. Step 3: Cross multiply
    12,203.36x = 16,839.90 × 6,825.36
  4. Step 4: Simplify right side
    12,203.36x = 114,938,443.01
  5. Step 5: Solve for x
    x = 114,938,443.01/12,203.36
  6. Step 6: Final answer
    x = 9,418.59

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1.5x scale

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.