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Finding the Fourth Proportional to 8,193.71, 12,290.57 and 2,037.71

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Solution

The fourth proportional to 8,193.71, 12,290.57 and 2,037.71 is: 3,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.71 : 12,290.57 = 2,037.71 : x
  2. Step 2: Convert to fraction form
    8,193.71/12,290.57 = 2,037.71/x
  3. Step 3: Cross multiply
    8,193.71x = 12,290.57 × 2,037.71
  4. Step 4: Simplify right side
    8,193.71x = 25,044,653.22
  5. Step 5: Solve for x
    x = 25,044,653.22/8,193.71
  6. Step 6: Final answer
    x = 3,056.57

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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.