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Finding the Fourth Proportional to 10,670.64, 16,007.76 and 3,274.88

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Solution

The fourth proportional to 10,670.64, 16,007.76 and 3,274.88 is: 4,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.64 : 16,007.76 = 3,274.88 : x
  2. Step 2: Convert to fraction form
    10,670.64/16,007.76 = 3,274.88/x
  3. Step 3: Cross multiply
    10,670.64x = 16,007.76 × 3,274.88
  4. Step 4: Simplify right side
    10,670.64x = 52,423,493.07
  5. Step 5: Solve for x
    x = 52,423,493.07/10,670.64
  6. Step 6: Final answer
    x = 4,912.87

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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.