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Finding the Fourth Proportional to 3,968.40, 5,952.54 and 966.46

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Solution

The fourth proportional to 3,968.40, 5,952.54 and 966.46 is: 1,449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.40 : 5,952.54 = 966.46 : x
  2. Step 2: Convert to fraction form
    3,968.40/5,952.54 = 966.46/x
  3. Step 3: Cross multiply
    3,968.40x = 5,952.54 × 966.46
  4. Step 4: Simplify right side
    3,968.40x = 5,752,915.09
  5. Step 5: Solve for x
    x = 5,752,915.09/3,968.40
  6. Step 6: Final answer
    x = 1,449.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.