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Finding the Fourth Proportional to 6,790, 9,370.20 and 4,137.42

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Solution

The fourth proportional to 6,790, 9,370.20 and 4,137.42 is: 5,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,790 : 9,370.20 = 4,137.42 : x
  2. Step 2: Convert to fraction form
    6,790/9,370.20 = 4,137.42/x
  3. Step 3: Cross multiply
    6,790x = 9,370.20 × 4,137.42
  4. Step 4: Simplify right side
    6,790x = 38,768,432.20
  5. Step 5: Solve for x
    x = 38,768,432.20/6,790
  6. Step 6: Final answer
    x = 5,709.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.