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Finding the Fourth Proportional to 6,967.50, 10,450.41 and 1,773.42

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Solution

The fourth proportional to 6,967.50, 10,450.41 and 1,773.42 is: 2,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.50 : 10,450.41 = 1,773.42 : x
  2. Step 2: Convert to fraction form
    6,967.50/10,450.41 = 1,773.42/x
  3. Step 3: Cross multiply
    6,967.50x = 10,450.41 × 1,773.42
  4. Step 4: Simplify right side
    6,967.50x = 18,532,966.10
  5. Step 5: Solve for x
    x = 18,532,966.10/6,967.50
  6. Step 6: Final answer
    x = 2,659.92

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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.