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Finding the Fourth Proportional to 11,592.00, 15,996.80 and 6,286.71

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Solution

The fourth proportional to 11,592.00, 15,996.80 and 6,286.71 is: 8,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.00 : 15,996.80 = 6,286.71 : x
  2. Step 2: Convert to fraction form
    11,592.00/15,996.80 = 6,286.71/x
  3. Step 3: Cross multiply
    11,592.00x = 15,996.80 × 6,286.71
  4. Step 4: Simplify right side
    11,592.00x = 100,567,131.11
  5. Step 5: Solve for x
    x = 100,567,131.11/11,592.00
  6. Step 6: Final answer
    x = 8,675.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.