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Finding the Fourth Proportional to 6,843.66, 10,266.14 and 3,146.92

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Solution

The fourth proportional to 6,843.66, 10,266.14 and 3,146.92 is: 4,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.66 : 10,266.14 = 3,146.92 : x
  2. Step 2: Convert to fraction form
    6,843.66/10,266.14 = 3,146.92/x
  3. Step 3: Cross multiply
    6,843.66x = 10,266.14 × 3,146.92
  4. Step 4: Simplify right side
    6,843.66x = 32,306,703.49
  5. Step 5: Solve for x
    x = 32,306,703.49/6,843.66
  6. Step 6: Final answer
    x = 4,720.68

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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.