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Finding the Fourth Proportional to 6,758.86, 10,138.25 and 1,828.48

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Solution

The fourth proportional to 6,758.86, 10,138.25 and 1,828.48 is: 2,742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.86 : 10,138.25 = 1,828.48 : x
  2. Step 2: Convert to fraction form
    6,758.86/10,138.25 = 1,828.48/x
  3. Step 3: Cross multiply
    6,758.86x = 10,138.25 × 1,828.48
  4. Step 4: Simplify right side
    6,758.86x = 18,537,566.59
  5. Step 5: Solve for x
    x = 18,537,566.59/6,758.86
  6. Step 6: Final answer
    x = 2,742.71

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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.