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Finding the Fourth Proportional to 12,164.75, 16,787.37 and 6,575.75

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Solution

The fourth proportional to 12,164.75, 16,787.37 and 6,575.75 is: 9,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.75 : 16,787.37 = 6,575.75 : x
  2. Step 2: Convert to fraction form
    12,164.75/16,787.37 = 6,575.75/x
  3. Step 3: Cross multiply
    12,164.75x = 16,787.37 × 6,575.75
  4. Step 4: Simplify right side
    12,164.75x = 110,389,548.28
  5. Step 5: Solve for x
    x = 110,389,548.28/12,164.75
  6. Step 6: Final answer
    x = 9,074.54

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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.