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Finding the Fourth Proportional to 6,965.16, 10,449.35 and 2,348.16

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Solution

The fourth proportional to 6,965.16, 10,449.35 and 2,348.16 is: 3,522.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.16 : 10,449.35 = 2,348.16 : x
  2. Step 2: Convert to fraction form
    6,965.16/10,449.35 = 2,348.16/x
  3. Step 3: Cross multiply
    6,965.16x = 10,449.35 × 2,348.16
  4. Step 4: Simplify right side
    6,965.16x = 24,536,716.78
  5. Step 5: Solve for x
    x = 24,536,716.78/6,965.16
  6. Step 6: Final answer
    x = 3,522.78

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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.