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Finding the Fourth Proportional to 6,380.63, 9,570.94 and 3,775.67

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Solution

The fourth proportional to 6,380.63, 9,570.94 and 3,775.67 is: 5,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.63 : 9,570.94 = 3,775.67 : x
  2. Step 2: Convert to fraction form
    6,380.63/9,570.94 = 3,775.67/x
  3. Step 3: Cross multiply
    6,380.63x = 9,570.94 × 3,775.67
  4. Step 4: Simplify right side
    6,380.63x = 36,136,711.03
  5. Step 5: Solve for x
    x = 36,136,711.03/6,380.63
  6. Step 6: Final answer
    x = 5,663.50

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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.