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Finding the Fourth Proportional to 6,715.67, 10,074.20 and 3,205.08

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Solution

The fourth proportional to 6,715.67, 10,074.20 and 3,205.08 is: 4,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.67 : 10,074.20 = 3,205.08 : x
  2. Step 2: Convert to fraction form
    6,715.67/10,074.20 = 3,205.08/x
  3. Step 3: Cross multiply
    6,715.67x = 10,074.20 × 3,205.08
  4. Step 4: Simplify right side
    6,715.67x = 32,288,616.94
  5. Step 5: Solve for x
    x = 32,288,616.94/6,715.67
  6. Step 6: Final answer
    x = 4,807.95

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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.