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Finding the Fourth Proportional to 6,952.98, 9,596.03 and 3,968.13

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Solution

The fourth proportional to 6,952.98, 9,596.03 and 3,968.13 is: 5,476.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.98 : 9,596.03 = 3,968.13 : x
  2. Step 2: Convert to fraction form
    6,952.98/9,596.03 = 3,968.13/x
  3. Step 3: Cross multiply
    6,952.98x = 9,596.03 × 3,968.13
  4. Step 4: Simplify right side
    6,952.98x = 38,078,274.68
  5. Step 5: Solve for x
    x = 38,078,274.68/6,952.98
  6. Step 6: Final answer
    x = 5,476.54

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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.