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Finding the Fourth Proportional to 6,782.70, 10,175.67 and 4,838.70

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Solution

The fourth proportional to 6,782.70, 10,175.67 and 4,838.70 is: 7,259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.70 : 10,175.67 = 4,838.70 : x
  2. Step 2: Convert to fraction form
    6,782.70/10,175.67 = 4,838.70/x
  3. Step 3: Cross multiply
    6,782.70x = 10,175.67 × 4,838.70
  4. Step 4: Simplify right side
    6,782.70x = 49,237,014.43
  5. Step 5: Solve for x
    x = 49,237,014.43/6,782.70
  6. Step 6: Final answer
    x = 7,259.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.