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Finding the Fourth Proportional to 9,379.75, 12,944.06 and 5,188.63

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Solution

The fourth proportional to 9,379.75, 12,944.06 and 5,188.63 is: 7,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379.75 : 12,944.06 = 5,188.63 : x
  2. Step 2: Convert to fraction form
    9,379.75/12,944.06 = 5,188.63/x
  3. Step 3: Cross multiply
    9,379.75x = 12,944.06 × 5,188.63
  4. Step 4: Simplify right side
    9,379.75x = 67,161,912.09
  5. Step 5: Solve for x
    x = 67,161,912.09/9,379.75
  6. Step 6: Final answer
    x = 7,160.31

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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.