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Finding the Fourth Proportional to 9,601, 14,401.52 and 2,675.52

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Solution

The fourth proportional to 9,601, 14,401.52 and 2,675.52 is: 4,013.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601 : 14,401.52 = 2,675.52 : x
  2. Step 2: Convert to fraction form
    9,601/14,401.52 = 2,675.52/x
  3. Step 3: Cross multiply
    9,601x = 14,401.52 × 2,675.52
  4. Step 4: Simplify right side
    9,601x = 38,531,554.79
  5. Step 5: Solve for x
    x = 38,531,554.79/9,601
  6. Step 6: Final answer
    x = 4,013.29

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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.