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Finding the Fourth Proportional to 6,968.12, 9,594.96 and 6,022.16

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Solution

The fourth proportional to 6,968.12, 9,594.96 and 6,022.16 is: 8,292.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.12 : 9,594.96 = 6,022.16 : x
  2. Step 2: Convert to fraction form
    6,968.12/9,594.96 = 6,022.16/x
  3. Step 3: Cross multiply
    6,968.12x = 9,594.96 × 6,022.16
  4. Step 4: Simplify right side
    6,968.12x = 57,782,384.31
  5. Step 5: Solve for x
    x = 57,782,384.31/6,968.12
  6. Step 6: Final answer
    x = 8,292.39

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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.