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Finding the Fourth Proportional to 5,106.87, 7,664.11 and 3,793.65

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Solution

The fourth proportional to 5,106.87, 7,664.11 and 3,793.65 is: 5,693.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.87 : 7,664.11 = 3,793.65 : x
  2. Step 2: Convert to fraction form
    5,106.87/7,664.11 = 3,793.65/x
  3. Step 3: Cross multiply
    5,106.87x = 7,664.11 × 3,793.65
  4. Step 4: Simplify right side
    5,106.87x = 29,074,950.90
  5. Step 5: Solve for x
    x = 29,074,950.90/5,106.87
  6. Step 6: Final answer
    x = 5,693.30

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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.