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Finding the Fourth Proportional to 6,937.94, 10,401.42 and 4,012.94

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Solution

The fourth proportional to 6,937.94, 10,401.42 and 4,012.94 is: 6,016.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.94 : 10,401.42 = 4,012.94 : x
  2. Step 2: Convert to fraction form
    6,937.94/10,401.42 = 4,012.94/x
  3. Step 3: Cross multiply
    6,937.94x = 10,401.42 × 4,012.94
  4. Step 4: Simplify right side
    6,937.94x = 41,740,274.37
  5. Step 5: Solve for x
    x = 41,740,274.37/6,937.94
  6. Step 6: Final answer
    x = 6,016.23

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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.