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Finding the Fourth Proportional to 6,384.80, 9,572 and 2,000

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Solution

The fourth proportional to 6,384.80, 9,572 and 2,000 is: 2,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.80 : 9,572 = 2,000 : x
  2. Step 2: Convert to fraction form
    6,384.80/9,572 = 2,000/x
  3. Step 3: Cross multiply
    6,384.80x = 9,572 × 2,000
  4. Step 4: Simplify right side
    6,384.80x = 19,144,000
  5. Step 5: Solve for x
    x = 19,144,000/6,384.80
  6. Step 6: Final answer
    x = 2,998.37

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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.