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Finding the Fourth Proportional to 6,853.86, 10,231.17 and 6,023.49

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Solution

The fourth proportional to 6,853.86, 10,231.17 and 6,023.49 is: 8,991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.86 : 10,231.17 = 6,023.49 : x
  2. Step 2: Convert to fraction form
    6,853.86/10,231.17 = 6,023.49/x
  3. Step 3: Cross multiply
    6,853.86x = 10,231.17 × 6,023.49
  4. Step 4: Simplify right side
    6,853.86x = 61,627,350.18
  5. Step 5: Solve for x
    x = 61,627,350.18/6,853.86
  6. Step 6: Final answer
    x = 8,991.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.