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Finding the Fourth Proportional to 6,906.05, 10,360.58 and 2,523.50

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Solution

The fourth proportional to 6,906.05, 10,360.58 and 2,523.50 is: 3,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.05 : 10,360.58 = 2,523.50 : x
  2. Step 2: Convert to fraction form
    6,906.05/10,360.58 = 2,523.50/x
  3. Step 3: Cross multiply
    6,906.05x = 10,360.58 × 2,523.50
  4. Step 4: Simplify right side
    6,906.05x = 26,144,923.63
  5. Step 5: Solve for x
    x = 26,144,923.63/6,906.05
  6. Step 6: Final answer
    x = 3,785.80

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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.