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Finding the Fourth Proportional to 7,803.33, 11,705.40 and 3,906.42

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Solution

The fourth proportional to 7,803.33, 11,705.40 and 3,906.42 is: 5,859.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.33 : 11,705.40 = 3,906.42 : x
  2. Step 2: Convert to fraction form
    7,803.33/11,705.40 = 3,906.42/x
  3. Step 3: Cross multiply
    7,803.33x = 11,705.40 × 3,906.42
  4. Step 4: Simplify right side
    7,803.33x = 45,726,208.67
  5. Step 5: Solve for x
    x = 45,726,208.67/7,803.33
  6. Step 6: Final answer
    x = 5,859.83

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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.