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Finding the Fourth Proportional to 6,999.50, 10,498.88 and 2,616.62

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Solution

The fourth proportional to 6,999.50, 10,498.88 and 2,616.62 is: 3,924.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.50 : 10,498.88 = 2,616.62 : x
  2. Step 2: Convert to fraction form
    6,999.50/10,498.88 = 2,616.62/x
  3. Step 3: Cross multiply
    6,999.50x = 10,498.88 × 2,616.62
  4. Step 4: Simplify right side
    6,999.50x = 27,471,513.81
  5. Step 5: Solve for x
    x = 27,471,513.81/6,999.50
  6. Step 6: Final answer
    x = 3,924.79

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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.