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Finding the Fourth Proportional to 6,675.75, 10,013.76 and 1,745.82

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Solution

The fourth proportional to 6,675.75, 10,013.76 and 1,745.82 is: 2,618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.75 : 10,013.76 = 1,745.82 : x
  2. Step 2: Convert to fraction form
    6,675.75/10,013.76 = 1,745.82/x
  3. Step 3: Cross multiply
    6,675.75x = 10,013.76 × 1,745.82
  4. Step 4: Simplify right side
    6,675.75x = 17,482,222.48
  5. Step 5: Solve for x
    x = 17,482,222.48/6,675.75
  6. Step 6: Final answer
    x = 2,618.77

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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.