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Finding the Fourth Proportional to 9,382.75, 14,074.14 and 3,835.12

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Solution

The fourth proportional to 9,382.75, 14,074.14 and 3,835.12 is: 5,752.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.75 : 14,074.14 = 3,835.12 : x
  2. Step 2: Convert to fraction form
    9,382.75/14,074.14 = 3,835.12/x
  3. Step 3: Cross multiply
    9,382.75x = 14,074.14 × 3,835.12
  4. Step 4: Simplify right side
    9,382.75x = 53,976,015.80
  5. Step 5: Solve for x
    x = 53,976,015.80/9,382.75
  6. Step 6: Final answer
    x = 5,752.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.