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Finding the Fourth Proportional to 6,502.08, 9,745.64 and 3,032

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Solution

The fourth proportional to 6,502.08, 9,745.64 and 3,032 is: 4,544.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.08 : 9,745.64 = 3,032 : x
  2. Step 2: Convert to fraction form
    6,502.08/9,745.64 = 3,032/x
  3. Step 3: Cross multiply
    6,502.08x = 9,745.64 × 3,032
  4. Step 4: Simplify right side
    6,502.08x = 29,548,780.48
  5. Step 5: Solve for x
    x = 29,548,780.48/6,502.08
  6. Step 6: Final answer
    x = 4,544.51

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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.