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Finding the Fourth Proportional to 7,138.46, 9,849.50 and 3,994.65

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Solution

The fourth proportional to 7,138.46, 9,849.50 and 3,994.65 is: 5,511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.46 : 9,849.50 = 3,994.65 : x
  2. Step 2: Convert to fraction form
    7,138.46/9,849.50 = 3,994.65/x
  3. Step 3: Cross multiply
    7,138.46x = 9,849.50 × 3,994.65
  4. Step 4: Simplify right side
    7,138.46x = 39,345,300.18
  5. Step 5: Solve for x
    x = 39,345,300.18/7,138.46
  6. Step 6: Final answer
    x = 5,511.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.