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Finding the Fourth Proportional to 6,930.66, 9,564.21 and 3,786.84

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Solution

The fourth proportional to 6,930.66, 9,564.21 and 3,786.84 is: 5,225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.66 : 9,564.21 = 3,786.84 : x
  2. Step 2: Convert to fraction form
    6,930.66/9,564.21 = 3,786.84/x
  3. Step 3: Cross multiply
    6,930.66x = 9,564.21 × 3,786.84
  4. Step 4: Simplify right side
    6,930.66x = 36,218,133.00
  5. Step 5: Solve for x
    x = 36,218,133.00/6,930.66
  6. Step 6: Final answer
    x = 5,225.78

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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.