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Finding the Fourth Proportional to 11,651.84, 17,468.66 and 7,944.88

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Solution

The fourth proportional to 11,651.84, 17,468.66 and 7,944.88 is: 11,911.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.84 : 17,468.66 = 7,944.88 : x
  2. Step 2: Convert to fraction form
    11,651.84/17,468.66 = 7,944.88/x
  3. Step 3: Cross multiply
    11,651.84x = 17,468.66 × 7,944.88
  4. Step 4: Simplify right side
    11,651.84x = 138,786,407.46
  5. Step 5: Solve for x
    x = 138,786,407.46/11,651.84
  6. Step 6: Final answer
    x = 11,911.12

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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.