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Finding the Fourth Proportional to 4,196.72, 6,295.08 and 3,968.30

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Solution

The fourth proportional to 4,196.72, 6,295.08 and 3,968.30 is: 5,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.72 : 6,295.08 = 3,968.30 : x
  2. Step 2: Convert to fraction form
    4,196.72/6,295.08 = 3,968.30/x
  3. Step 3: Cross multiply
    4,196.72x = 6,295.08 × 3,968.30
  4. Step 4: Simplify right side
    4,196.72x = 24,980,765.96
  5. Step 5: Solve for x
    x = 24,980,765.96/4,196.72
  6. Step 6: Final answer
    x = 5,952.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.