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Finding the Fourth Proportional to 6,560.46, 9,841.32 and 2,178

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Solution

The fourth proportional to 6,560.46, 9,841.32 and 2,178 is: 3,267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.46 : 9,841.32 = 2,178 : x
  2. Step 2: Convert to fraction form
    6,560.46/9,841.32 = 2,178/x
  3. Step 3: Cross multiply
    6,560.46x = 9,841.32 × 2,178
  4. Step 4: Simplify right side
    6,560.46x = 21,434,394.96
  5. Step 5: Solve for x
    x = 21,434,394.96/6,560.46
  6. Step 6: Final answer
    x = 3,267.21

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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.