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Finding the Fourth Proportional to 6,694.96, 10,039.20 and 2,310.88

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Solution

The fourth proportional to 6,694.96, 10,039.20 and 2,310.88 is: 3,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.96 : 10,039.20 = 2,310.88 : x
  2. Step 2: Convert to fraction form
    6,694.96/10,039.20 = 2,310.88/x
  3. Step 3: Cross multiply
    6,694.96x = 10,039.20 × 2,310.88
  4. Step 4: Simplify right side
    6,694.96x = 23,199,386.50
  5. Step 5: Solve for x
    x = 23,199,386.50/6,694.96
  6. Step 6: Final answer
    x = 3,465.20

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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.