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Finding the Fourth Proportional to 11,713.14, 17,580.11 and 5,476.55

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Solution

The fourth proportional to 11,713.14, 17,580.11 and 5,476.55 is: 8,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.14 : 17,580.11 = 5,476.55 : x
  2. Step 2: Convert to fraction form
    11,713.14/17,580.11 = 5,476.55/x
  3. Step 3: Cross multiply
    11,713.14x = 17,580.11 × 5,476.55
  4. Step 4: Simplify right side
    11,713.14x = 96,278,236.14
  5. Step 5: Solve for x
    x = 96,278,236.14/11,713.14
  6. Step 6: Final answer
    x = 8,219.68

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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.