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Finding the Fourth Proportional to 12,205.50, 16,843.59 and 6,616.50

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Solution

The fourth proportional to 12,205.50, 16,843.59 and 6,616.50 is: 9,130.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.50 : 16,843.59 = 6,616.50 : x
  2. Step 2: Convert to fraction form
    12,205.50/16,843.59 = 6,616.50/x
  3. Step 3: Cross multiply
    12,205.50x = 16,843.59 × 6,616.50
  4. Step 4: Simplify right side
    12,205.50x = 111,445,613.24
  5. Step 5: Solve for x
    x = 111,445,613.24/12,205.50
  6. Step 6: Final answer
    x = 9,130.77

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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.