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Finding the Fourth Proportional to 11,592.64, 15,997.73 and 6,287.48

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Solution

The fourth proportional to 11,592.64, 15,997.73 and 6,287.48 is: 8,676.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.64 : 15,997.73 = 6,287.48 : x
  2. Step 2: Convert to fraction form
    11,592.64/15,997.73 = 6,287.48/x
  3. Step 3: Cross multiply
    11,592.64x = 15,997.73 × 6,287.48
  4. Step 4: Simplify right side
    11,592.64x = 100,585,407.42
  5. Step 5: Solve for x
    x = 100,585,407.42/11,592.64
  6. Step 6: Final answer
    x = 8,676.66

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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.