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Finding the Fourth Proportional to 4,072.96, 6,109.39 and 994.96

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Solution

The fourth proportional to 4,072.96, 6,109.39 and 994.96 is: 1,492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.96 : 6,109.39 = 994.96 : x
  2. Step 2: Convert to fraction form
    4,072.96/6,109.39 = 994.96/x
  3. Step 3: Cross multiply
    4,072.96x = 6,109.39 × 994.96
  4. Step 4: Simplify right side
    4,072.96x = 6,078,598.67
  5. Step 5: Solve for x
    x = 6,078,598.67/4,072.96
  6. Step 6: Final answer
    x = 1,492.43

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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.