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Finding the Fourth Proportional to 6,786.06, 9,364.77 and 4,133.48

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Solution

The fourth proportional to 6,786.06, 9,364.77 and 4,133.48 is: 5,704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.06 : 9,364.77 = 4,133.48 : x
  2. Step 2: Convert to fraction form
    6,786.06/9,364.77 = 4,133.48/x
  3. Step 3: Cross multiply
    6,786.06x = 9,364.77 × 4,133.48
  4. Step 4: Simplify right side
    6,786.06x = 38,709,022.01
  5. Step 5: Solve for x
    x = 38,709,022.01/6,786.06
  6. Step 6: Final answer
    x = 5,704.20

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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.