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Finding the Fourth Proportional to 11,573.86, 15,971.97 and 6,268.68

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Solution

The fourth proportional to 11,573.86, 15,971.97 and 6,268.68 is: 8,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.86 : 15,971.97 = 6,268.68 : x
  2. Step 2: Convert to fraction form
    11,573.86/15,971.97 = 6,268.68/x
  3. Step 3: Cross multiply
    11,573.86x = 15,971.97 × 6,268.68
  4. Step 4: Simplify right side
    11,573.86x = 100,123,168.90
  5. Step 5: Solve for x
    x = 100,123,168.90/11,573.86
  6. Step 6: Final answer
    x = 8,650.80

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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.