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Finding the Fourth Proportional to 4,671.30, 7,016.70 and 3,942.30

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Solution

The fourth proportional to 4,671.30, 7,016.70 and 3,942.30 is: 5,921.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.30 : 7,016.70 = 3,942.30 : x
  2. Step 2: Convert to fraction form
    4,671.30/7,016.70 = 3,942.30/x
  3. Step 3: Cross multiply
    4,671.30x = 7,016.70 × 3,942.30
  4. Step 4: Simplify right side
    4,671.30x = 27,661,936.41
  5. Step 5: Solve for x
    x = 27,661,936.41/4,671.30
  6. Step 6: Final answer
    x = 5,921.68

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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.