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Finding the Fourth Proportional to 7,744.82, 10,687.82 and 4,208.09

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Solution

The fourth proportional to 7,744.82, 10,687.82 and 4,208.09 is: 5,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.82 : 10,687.82 = 4,208.09 : x
  2. Step 2: Convert to fraction form
    7,744.82/10,687.82 = 4,208.09/x
  3. Step 3: Cross multiply
    7,744.82x = 10,687.82 × 4,208.09
  4. Step 4: Simplify right side
    7,744.82x = 44,975,233.98
  5. Step 5: Solve for x
    x = 44,975,233.98/7,744.82
  6. Step 6: Final answer
    x = 5,807.14

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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.