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Finding the Fourth Proportional to 6,807.73, 10,202.51 and 3,638.67

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Solution

The fourth proportional to 6,807.73, 10,202.51 and 3,638.67 is: 5,453.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.73 : 10,202.51 = 3,638.67 : x
  2. Step 2: Convert to fraction form
    6,807.73/10,202.51 = 3,638.67/x
  3. Step 3: Cross multiply
    6,807.73x = 10,202.51 × 3,638.67
  4. Step 4: Simplify right side
    6,807.73x = 37,123,583.47
  5. Step 5: Solve for x
    x = 37,123,583.47/6,807.73
  6. Step 6: Final answer
    x = 5,453.15

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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.