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Finding the Fourth Proportional to 8,193.75, 12,290.67 and 2,037.75

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Solution

The fourth proportional to 8,193.75, 12,290.67 and 2,037.75 is: 3,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.75 : 12,290.67 = 2,037.75 : x
  2. Step 2: Convert to fraction form
    8,193.75/12,290.67 = 2,037.75/x
  3. Step 3: Cross multiply
    8,193.75x = 12,290.67 × 2,037.75
  4. Step 4: Simplify right side
    8,193.75x = 25,045,312.79
  5. Step 5: Solve for x
    x = 25,045,312.79/8,193.75
  6. Step 6: Final answer
    x = 3,056.64

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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.