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Finding the Fourth Proportional to 6,364.62, 8,783.24 and 3,675.64

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Solution

The fourth proportional to 6,364.62, 8,783.24 and 3,675.64 is: 5,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.62 : 8,783.24 = 3,675.64 : x
  2. Step 2: Convert to fraction form
    6,364.62/8,783.24 = 3,675.64/x
  3. Step 3: Cross multiply
    6,364.62x = 8,783.24 × 3,675.64
  4. Step 4: Simplify right side
    6,364.62x = 32,284,028.27
  5. Step 5: Solve for x
    x = 32,284,028.27/6,364.62
  6. Step 6: Final answer
    x = 5,072.42

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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.