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Finding the Fourth Proportional to 6,975.76, 9,626.16 and 3,832

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Solution

The fourth proportional to 6,975.76, 9,626.16 and 3,832 is: 5,287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.76 : 9,626.16 = 3,832 : x
  2. Step 2: Convert to fraction form
    6,975.76/9,626.16 = 3,832/x
  3. Step 3: Cross multiply
    6,975.76x = 9,626.16 × 3,832
  4. Step 4: Simplify right side
    6,975.76x = 36,887,445.12
  5. Step 5: Solve for x
    x = 36,887,445.12/6,975.76
  6. Step 6: Final answer
    x = 5,287.95

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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.