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Finding the Fourth Proportional to 6,299.70, 9,449.55 and 5,205.30

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Solution

The fourth proportional to 6,299.70, 9,449.55 and 5,205.30 is: 7,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.70 : 9,449.55 = 5,205.30 : x
  2. Step 2: Convert to fraction form
    6,299.70/9,449.55 = 5,205.30/x
  3. Step 3: Cross multiply
    6,299.70x = 9,449.55 × 5,205.30
  4. Step 4: Simplify right side
    6,299.70x = 49,187,742.62
  5. Step 5: Solve for x
    x = 49,187,742.62/6,299.70
  6. Step 6: Final answer
    x = 7,807.95

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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.