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Finding the Fourth Proportional to 5,941.44, 8,912.12 and 4,644

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Solution

The fourth proportional to 5,941.44, 8,912.12 and 4,644 is: 6,965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.44 : 8,912.12 = 4,644 : x
  2. Step 2: Convert to fraction form
    5,941.44/8,912.12 = 4,644/x
  3. Step 3: Cross multiply
    5,941.44x = 8,912.12 × 4,644
  4. Step 4: Simplify right side
    5,941.44x = 41,387,885.28
  5. Step 5: Solve for x
    x = 41,387,885.28/5,941.44
  6. Step 6: Final answer
    x = 6,965.97

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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.