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Finding the Fourth Proportional to 11,592.82, 15,998.04 and 6,287.64

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Solution

The fourth proportional to 11,592.82, 15,998.04 and 6,287.64 is: 8,676.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.82 : 15,998.04 = 6,287.64 : x
  2. Step 2: Convert to fraction form
    11,592.82/15,998.04 = 6,287.64/x
  3. Step 3: Cross multiply
    11,592.82x = 15,998.04 × 6,287.64
  4. Step 4: Simplify right side
    11,592.82x = 100,589,916.23
  5. Step 5: Solve for x
    x = 100,589,916.23/11,592.82
  6. Step 6: Final answer
    x = 8,676.92

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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.