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Finding the Fourth Proportional to 6,886.50, 10,333.84 and 2,504.30

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Solution

The fourth proportional to 6,886.50, 10,333.84 and 2,504.30 is: 3,757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.50 : 10,333.84 = 2,504.30 : x
  2. Step 2: Convert to fraction form
    6,886.50/10,333.84 = 2,504.30/x
  3. Step 3: Cross multiply
    6,886.50x = 10,333.84 × 2,504.30
  4. Step 4: Simplify right side
    6,886.50x = 25,879,035.51
  5. Step 5: Solve for x
    x = 25,879,035.51/6,886.50
  6. Step 6: Final answer
    x = 3,757.94

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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.