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Finding the Fourth Proportional to 6,545, 9,032.10 and 3,601

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Solution

The fourth proportional to 6,545, 9,032.10 and 3,601 is: 4,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545 : 9,032.10 = 3,601 : x
  2. Step 2: Convert to fraction form
    6,545/9,032.10 = 3,601/x
  3. Step 3: Cross multiply
    6,545x = 9,032.10 × 3,601
  4. Step 4: Simplify right side
    6,545x = 32,524,592.10
  5. Step 5: Solve for x
    x = 32,524,592.10/6,545
  6. Step 6: Final answer
    x = 4,969.38

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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.