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Finding the Fourth Proportional to 6,765.68, 10,149.12 and 3,069.65

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Solution

The fourth proportional to 6,765.68, 10,149.12 and 3,069.65 is: 4,604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.68 : 10,149.12 = 3,069.65 : x
  2. Step 2: Convert to fraction form
    6,765.68/10,149.12 = 3,069.65/x
  3. Step 3: Cross multiply
    6,765.68x = 10,149.12 × 3,069.65
  4. Step 4: Simplify right side
    6,765.68x = 31,154,246.21
  5. Step 5: Solve for x
    x = 31,154,246.21/6,765.68
  6. Step 6: Final answer
    x = 4,604.75

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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.