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Finding the Fourth Proportional to 6,384.50, 9,577.00 and 2,224.92

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Solution

The fourth proportional to 6,384.50, 9,577.00 and 2,224.92 is: 3,337.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.50 : 9,577.00 = 2,224.92 : x
  2. Step 2: Convert to fraction form
    6,384.50/9,577.00 = 2,224.92/x
  3. Step 3: Cross multiply
    6,384.50x = 9,577.00 × 2,224.92
  4. Step 4: Simplify right side
    6,384.50x = 21,308,097.53
  5. Step 5: Solve for x
    x = 21,308,097.53/6,384.50
  6. Step 6: Final answer
    x = 3,337.47

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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.