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Finding the Fourth Proportional to 3,768.14, 5,651.14 and 1,134.93

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Solution

The fourth proportional to 3,768.14, 5,651.14 and 1,134.93 is: 1,702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.14 : 5,651.14 = 1,134.93 : x
  2. Step 2: Convert to fraction form
    3,768.14/5,651.14 = 1,134.93/x
  3. Step 3: Cross multiply
    3,768.14x = 5,651.14 × 1,134.93
  4. Step 4: Simplify right side
    3,768.14x = 6,413,645.48
  5. Step 5: Solve for x
    x = 6,413,645.48/3,768.14
  6. Step 6: Final answer
    x = 1,702.07

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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.