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Finding the Fourth Proportional to 6,794.75, 9,377.17 and 3,810.76

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Solution

The fourth proportional to 6,794.75, 9,377.17 and 3,810.76 is: 5,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.75 : 9,377.17 = 3,810.76 : x
  2. Step 2: Convert to fraction form
    6,794.75/9,377.17 = 3,810.76/x
  3. Step 3: Cross multiply
    6,794.75x = 9,377.17 × 3,810.76
  4. Step 4: Simplify right side
    6,794.75x = 35,734,164.13
  5. Step 5: Solve for x
    x = 35,734,164.13/6,794.75
  6. Step 6: Final answer
    x = 5,259.08

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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.