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Finding the Fourth Proportional to 6,968, 9,616.16 and 3,824.32

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Solution

The fourth proportional to 6,968, 9,616.16 and 3,824.32 is: 5,277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968 : 9,616.16 = 3,824.32 : x
  2. Step 2: Convert to fraction form
    6,968/9,616.16 = 3,824.32/x
  3. Step 3: Cross multiply
    6,968x = 9,616.16 × 3,824.32
  4. Step 4: Simplify right side
    6,968x = 36,775,273.01
  5. Step 5: Solve for x
    x = 36,775,273.01/6,968
  6. Step 6: Final answer
    x = 5,277.74

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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.