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Finding the Fourth Proportional to 6,908.75, 9,534.08 and 3,764.94

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Solution

The fourth proportional to 6,908.75, 9,534.08 and 3,764.94 is: 5,195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.75 : 9,534.08 = 3,764.94 : x
  2. Step 2: Convert to fraction form
    6,908.75/9,534.08 = 3,764.94/x
  3. Step 3: Cross multiply
    6,908.75x = 9,534.08 × 3,764.94
  4. Step 4: Simplify right side
    6,908.75x = 35,895,196.50
  5. Step 5: Solve for x
    x = 35,895,196.50/6,908.75
  6. Step 6: Final answer
    x = 5,195.61

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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.