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Finding the Fourth Proportional to 8,295.75, 12,443.63 and 2,823.75

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Solution

The fourth proportional to 8,295.75, 12,443.63 and 2,823.75 is: 4,235.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.75 : 12,443.63 = 2,823.75 : x
  2. Step 2: Convert to fraction form
    8,295.75/12,443.63 = 2,823.75/x
  3. Step 3: Cross multiply
    8,295.75x = 12,443.63 × 2,823.75
  4. Step 4: Simplify right side
    8,295.75x = 35,137,686.09
  5. Step 5: Solve for x
    x = 35,137,686.09/8,295.75
  6. Step 6: Final answer
    x = 4,235.63

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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.