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Finding the Fourth Proportional to 12,185.88, 16,816.51 and 6,596.88

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Solution

The fourth proportional to 12,185.88, 16,816.51 and 6,596.88 is: 9,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.88 : 16,816.51 = 6,596.88 : x
  2. Step 2: Convert to fraction form
    12,185.88/16,816.51 = 6,596.88/x
  3. Step 3: Cross multiply
    12,185.88x = 16,816.51 × 6,596.88
  4. Step 4: Simplify right side
    12,185.88x = 110,936,498.49
  5. Step 5: Solve for x
    x = 110,936,498.49/12,185.88
  6. Step 6: Final answer
    x = 9,103.69

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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.