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Finding the Fourth Proportional to 6,745.82, 10,125.20 and 3,285.50

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Solution

The fourth proportional to 6,745.82, 10,125.20 and 3,285.50 is: 4,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.82 : 10,125.20 = 3,285.50 : x
  2. Step 2: Convert to fraction form
    6,745.82/10,125.20 = 3,285.50/x
  3. Step 3: Cross multiply
    6,745.82x = 10,125.20 × 3,285.50
  4. Step 4: Simplify right side
    6,745.82x = 33,266,302.19
  5. Step 5: Solve for x
    x = 33,266,302.19/6,745.82
  6. Step 6: Final answer
    x = 4,931.40

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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.