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Finding the Fourth Proportional to 12,027, 16,597.26 and 6,649.44

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Solution

The fourth proportional to 12,027, 16,597.26 and 6,649.44 is: 9,176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027 : 16,597.26 = 6,649.44 : x
  2. Step 2: Convert to fraction form
    12,027/16,597.26 = 6,649.44/x
  3. Step 3: Cross multiply
    12,027x = 16,597.26 × 6,649.44
  4. Step 4: Simplify right side
    12,027x = 110,362,484.53
  5. Step 5: Solve for x
    x = 110,362,484.53/12,027
  6. Step 6: Final answer
    x = 9,176.23

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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.