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Finding the Fourth Proportional to 6,560.49, 9,840.76 and 2,178.29

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Solution

The fourth proportional to 6,560.49, 9,840.76 and 2,178.29 is: 3,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.49 : 9,840.76 = 2,178.29 : x
  2. Step 2: Convert to fraction form
    6,560.49/9,840.76 = 2,178.29/x
  3. Step 3: Cross multiply
    6,560.49x = 9,840.76 × 2,178.29
  4. Step 4: Simplify right side
    6,560.49x = 21,436,048.26
  5. Step 5: Solve for x
    x = 21,436,048.26/6,560.49
  6. Step 6: Final answer
    x = 3,267.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.