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Finding the Fourth Proportional to 4,786.84, 6,605.78 and 2,662.48

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Solution

The fourth proportional to 4,786.84, 6,605.78 and 2,662.48 is: 3,674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.84 : 6,605.78 = 2,662.48 : x
  2. Step 2: Convert to fraction form
    4,786.84/6,605.78 = 2,662.48/x
  3. Step 3: Cross multiply
    4,786.84x = 6,605.78 × 2,662.48
  4. Step 4: Simplify right side
    4,786.84x = 17,587,757.13
  5. Step 5: Solve for x
    x = 17,587,757.13/4,786.84
  6. Step 6: Final answer
    x = 3,674.19

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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.