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Finding the Fourth Proportional to 6,682.77, 9,223.20 and 3,849.59

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Solution

The fourth proportional to 6,682.77, 9,223.20 and 3,849.59 is: 5,313.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.77 : 9,223.20 = 3,849.59 : x
  2. Step 2: Convert to fraction form
    6,682.77/9,223.20 = 3,849.59/x
  3. Step 3: Cross multiply
    6,682.77x = 9,223.20 × 3,849.59
  4. Step 4: Simplify right side
    6,682.77x = 35,505,538.49
  5. Step 5: Solve for x
    x = 35,505,538.49/6,682.77
  6. Step 6: Final answer
    x = 5,313.00

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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.