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Finding the Fourth Proportional to 12,164.34, 16,786.81 and 6,575.34

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Solution

The fourth proportional to 12,164.34, 16,786.81 and 6,575.34 is: 9,073.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.34 : 16,786.81 = 6,575.34 : x
  2. Step 2: Convert to fraction form
    12,164.34/16,786.81 = 6,575.34/x
  3. Step 3: Cross multiply
    12,164.34x = 16,786.81 × 6,575.34
  4. Step 4: Simplify right side
    12,164.34x = 110,379,054.44
  5. Step 5: Solve for x
    x = 110,379,054.44/12,164.34
  6. Step 6: Final answer
    x = 9,073.98

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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.