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Finding the Fourth Proportional to 6,348.94, 9,525.69 and 2,838.65

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Solution

The fourth proportional to 6,348.94, 9,525.69 and 2,838.65 is: 4,258.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.94 : 9,525.69 = 2,838.65 : x
  2. Step 2: Convert to fraction form
    6,348.94/9,525.69 = 2,838.65/x
  3. Step 3: Cross multiply
    6,348.94x = 9,525.69 × 2,838.65
  4. Step 4: Simplify right side
    6,348.94x = 27,040,099.92
  5. Step 5: Solve for x
    x = 27,040,099.92/6,348.94
  6. Step 6: Final answer
    x = 4,258.99

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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.