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Finding the Fourth Proportional to 6,941.43, 10,412.13 and 2,261.43

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Solution

The fourth proportional to 6,941.43, 10,412.13 and 2,261.43 is: 3,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.43 : 10,412.13 = 2,261.43 : x
  2. Step 2: Convert to fraction form
    6,941.43/10,412.13 = 2,261.43/x
  3. Step 3: Cross multiply
    6,941.43x = 10,412.13 × 2,261.43
  4. Step 4: Simplify right side
    6,941.43x = 23,546,277.12
  5. Step 5: Solve for x
    x = 23,546,277.12/6,941.43
  6. Step 6: Final answer
    x = 3,392.14

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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.