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Finding the Fourth Proportional to 6,782.54, 10,172.84 and 2,624.54

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Solution

The fourth proportional to 6,782.54, 10,172.84 and 2,624.54 is: 3,936.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.54 : 10,172.84 = 2,624.54 : x
  2. Step 2: Convert to fraction form
    6,782.54/10,172.84 = 2,624.54/x
  3. Step 3: Cross multiply
    6,782.54x = 10,172.84 × 2,624.54
  4. Step 4: Simplify right side
    6,782.54x = 26,698,961.51
  5. Step 5: Solve for x
    x = 26,698,961.51/6,782.54
  6. Step 6: Final answer
    x = 3,936.43

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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.