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Finding the Fourth Proportional to 4,682.48, 7,017.82 and 4,096.09

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Solution

The fourth proportional to 4,682.48, 7,017.82 and 4,096.09 is: 6,138.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.48 : 7,017.82 = 4,096.09 : x
  2. Step 2: Convert to fraction form
    4,682.48/7,017.82 = 4,096.09/x
  3. Step 3: Cross multiply
    4,682.48x = 7,017.82 × 4,096.09
  4. Step 4: Simplify right side
    4,682.48x = 28,745,622.32
  5. Step 5: Solve for x
    x = 28,745,622.32/4,682.48
  6. Step 6: Final answer
    x = 6,138.97

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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.