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Finding the Fourth Proportional to 6,165.77, 8,524.96 and 5,890.37

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Solution

The fourth proportional to 6,165.77, 8,524.96 and 5,890.37 is: 8,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.77 : 8,524.96 = 5,890.37 : x
  2. Step 2: Convert to fraction form
    6,165.77/8,524.96 = 5,890.37/x
  3. Step 3: Cross multiply
    6,165.77x = 8,524.96 × 5,890.37
  4. Step 4: Simplify right side
    6,165.77x = 50,215,168.64
  5. Step 5: Solve for x
    x = 50,215,168.64/6,165.77
  6. Step 6: Final answer
    x = 8,144.18

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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.