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Finding the Fourth Proportional to 4,960.67, 6,846.78 and 2,972.38

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Solution

The fourth proportional to 4,960.67, 6,846.78 and 2,972.38 is: 4,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960.67 : 6,846.78 = 2,972.38 : x
  2. Step 2: Convert to fraction form
    4,960.67/6,846.78 = 2,972.38/x
  3. Step 3: Cross multiply
    4,960.67x = 6,846.78 × 2,972.38
  4. Step 4: Simplify right side
    4,960.67x = 20,351,255.34
  5. Step 5: Solve for x
    x = 20,351,255.34/4,960.67
  6. Step 6: Final answer
    x = 4,102.52

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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.