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Finding the Fourth Proportional to 6,967.69, 10,452.14 and 1,773.56

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Solution

The fourth proportional to 6,967.69, 10,452.14 and 1,773.56 is: 2,660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.69 : 10,452.14 = 1,773.56 : x
  2. Step 2: Convert to fraction form
    6,967.69/10,452.14 = 1,773.56/x
  3. Step 3: Cross multiply
    6,967.69x = 10,452.14 × 1,773.56
  4. Step 4: Simplify right side
    6,967.69x = 18,537,521.33
  5. Step 5: Solve for x
    x = 18,537,521.33/6,967.69
  6. Step 6: Final answer
    x = 2,660.50

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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.