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Finding the Fourth Proportional to 6,965.50, 10,448.26 and 2,348.50

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Solution

The fourth proportional to 6,965.50, 10,448.26 and 2,348.50 is: 3,522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.50 : 10,448.26 = 2,348.50 : x
  2. Step 2: Convert to fraction form
    6,965.50/10,448.26 = 2,348.50/x
  3. Step 3: Cross multiply
    6,965.50x = 10,448.26 × 2,348.50
  4. Step 4: Simplify right side
    6,965.50x = 24,537,738.61
  5. Step 5: Solve for x
    x = 24,537,738.61/6,965.50
  6. Step 6: Final answer
    x = 3,522.75

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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.