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Finding the Fourth Proportional to 6,992.64, 10,494.72 and 3,530.88

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Solution

The fourth proportional to 6,992.64, 10,494.72 and 3,530.88 is: 5,299.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.64 : 10,494.72 = 3,530.88 : x
  2. Step 2: Convert to fraction form
    6,992.64/10,494.72 = 3,530.88/x
  3. Step 3: Cross multiply
    6,992.64x = 10,494.72 × 3,530.88
  4. Step 4: Simplify right side
    6,992.64x = 37,055,596.95
  5. Step 5: Solve for x
    x = 37,055,596.95/6,992.64
  6. Step 6: Final answer
    x = 5,299.23

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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.