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Finding the Fourth Proportional to 7,206.57, 10,813.10 and 3,914.73

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Solution

The fourth proportional to 7,206.57, 10,813.10 and 3,914.73 is: 5,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.57 : 10,813.10 = 3,914.73 : x
  2. Step 2: Convert to fraction form
    7,206.57/10,813.10 = 3,914.73/x
  3. Step 3: Cross multiply
    7,206.57x = 10,813.10 × 3,914.73
  4. Step 4: Simplify right side
    7,206.57x = 42,330,347.39
  5. Step 5: Solve for x
    x = 42,330,347.39/7,206.57
  6. Step 6: Final answer
    x = 5,873.86

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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.