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Finding the Fourth Proportional to 4,615.54, 6,956.63 and 3,974.02

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Solution

The fourth proportional to 4,615.54, 6,956.63 and 3,974.02 is: 5,989.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.54 : 6,956.63 = 3,974.02 : x
  2. Step 2: Convert to fraction form
    4,615.54/6,956.63 = 3,974.02/x
  3. Step 3: Cross multiply
    4,615.54x = 6,956.63 × 3,974.02
  4. Step 4: Simplify right side
    4,615.54x = 27,645,786.75
  5. Step 5: Solve for x
    x = 27,645,786.75/4,615.54
  6. Step 6: Final answer
    x = 5,989.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.