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Finding the Fourth Proportional to 6,968.52, 9,605.34 and 6,396.48

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Solution

The fourth proportional to 6,968.52, 9,605.34 and 6,396.48 is: 8,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.52 : 9,605.34 = 6,396.48 : x
  2. Step 2: Convert to fraction form
    6,968.52/9,605.34 = 6,396.48/x
  3. Step 3: Cross multiply
    6,968.52x = 9,605.34 × 6,396.48
  4. Step 4: Simplify right side
    6,968.52x = 61,440,365.20
  5. Step 5: Solve for x
    x = 61,440,365.20/6,968.52
  6. Step 6: Final answer
    x = 8,816.85

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1.5x scale

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.