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Finding the Fourth Proportional to 12,771.71, 19,157.57 and 3,537.71

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Solution

The fourth proportional to 12,771.71, 19,157.57 and 3,537.71 is: 5,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.71 : 19,157.57 = 3,537.71 : x
  2. Step 2: Convert to fraction form
    12,771.71/19,157.57 = 3,537.71/x
  3. Step 3: Cross multiply
    12,771.71x = 19,157.57 × 3,537.71
  4. Step 4: Simplify right side
    12,771.71x = 67,773,813.49
  5. Step 5: Solve for x
    x = 67,773,813.49/12,771.71
  6. Step 6: Final answer
    x = 5,306.56

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Similar ratio
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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.