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Finding the Fourth Proportional to 6,786.84, 9,365.93 and 4,427.62

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Solution

The fourth proportional to 6,786.84, 9,365.93 and 4,427.62 is: 6,110.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.84 : 9,365.93 = 4,427.62 : x
  2. Step 2: Convert to fraction form
    6,786.84/9,365.93 = 4,427.62/x
  3. Step 3: Cross multiply
    6,786.84x = 9,365.93 × 4,427.62
  4. Step 4: Simplify right side
    6,786.84x = 41,468,778.99
  5. Step 5: Solve for x
    x = 41,468,778.99/6,786.84
  6. Step 6: Final answer
    x = 6,110.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.