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Finding the Fourth Proportional to 10,672.14, 16,008.28 and 6,997.62

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Solution

The fourth proportional to 10,672.14, 16,008.28 and 6,997.62 is: 10,496.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.14 : 16,008.28 = 6,997.62 : x
  2. Step 2: Convert to fraction form
    10,672.14/16,008.28 = 6,997.62/x
  3. Step 3: Cross multiply
    10,672.14x = 16,008.28 × 6,997.62
  4. Step 4: Simplify right side
    10,672.14x = 112,019,860.29
  5. Step 5: Solve for x
    x = 112,019,860.29/10,672.14
  6. Step 6: Final answer
    x = 10,496.48

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1.5x scale

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.