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Finding the Fourth Proportional to 12,205.34, 16,843.41 and 6,616.34

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Solution

The fourth proportional to 12,205.34, 16,843.41 and 6,616.34 is: 9,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.34 : 16,843.41 = 6,616.34 : x
  2. Step 2: Convert to fraction form
    12,205.34/16,843.41 = 6,616.34/x
  3. Step 3: Cross multiply
    12,205.34x = 16,843.41 × 6,616.34
  4. Step 4: Simplify right side
    12,205.34x = 111,441,643.10
  5. Step 5: Solve for x
    x = 111,441,643.10/12,205.34
  6. Step 6: Final answer
    x = 9,130.57

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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.