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Finding the Fourth Proportional to 10,451.72, 15,682.94 and 6,944.14

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Solution

The fourth proportional to 10,451.72, 15,682.94 and 6,944.14 is: 10,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.72 : 15,682.94 = 6,944.14 : x
  2. Step 2: Convert to fraction form
    10,451.72/15,682.94 = 6,944.14/x
  3. Step 3: Cross multiply
    10,451.72x = 15,682.94 × 6,944.14
  4. Step 4: Simplify right side
    10,451.72x = 108,904,530.97
  5. Step 5: Solve for x
    x = 108,904,530.97/10,451.72
  6. Step 6: Final answer
    x = 10,419.77

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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.