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Finding the Fourth Proportional to 6,857.76, 9,401.94 and 6,733.20

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Solution

The fourth proportional to 6,857.76, 9,401.94 and 6,733.20 is: 9,231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.76 : 9,401.94 = 6,733.20 : x
  2. Step 2: Convert to fraction form
    6,857.76/9,401.94 = 6,733.20/x
  3. Step 3: Cross multiply
    6,857.76x = 9,401.94 × 6,733.20
  4. Step 4: Simplify right side
    6,857.76x = 63,305,142.41
  5. Step 5: Solve for x
    x = 63,305,142.41/6,857.76
  6. Step 6: Final answer
    x = 9,231.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.