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Finding the Fourth Proportional to 6,709.80, 10,038.78 and 3,633.96

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Solution

The fourth proportional to 6,709.80, 10,038.78 and 3,633.96 is: 5,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.80 : 10,038.78 = 3,633.96 : x
  2. Step 2: Convert to fraction form
    6,709.80/10,038.78 = 3,633.96/x
  3. Step 3: Cross multiply
    6,709.80x = 10,038.78 × 3,633.96
  4. Step 4: Simplify right side
    6,709.80x = 36,480,524.97
  5. Step 5: Solve for x
    x = 36,480,524.97/6,709.80
  6. Step 6: Final answer
    x = 5,436.90

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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.