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Finding the Fourth Proportional to 9,081, 12,532.86 and 5,944.14

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Solution

The fourth proportional to 9,081, 12,532.86 and 5,944.14 is: 8,203.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,081 : 12,532.86 = 5,944.14 : x
  2. Step 2: Convert to fraction form
    9,081/12,532.86 = 5,944.14/x
  3. Step 3: Cross multiply
    9,081x = 12,532.86 × 5,944.14
  4. Step 4: Simplify right side
    9,081x = 74,497,074.44
  5. Step 5: Solve for x
    x = 74,497,074.44/9,081
  6. Step 6: Final answer
    x = 8,203.62

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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.