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Finding the Fourth Proportional to 6,560.90, 9,843.04 and 2,178.40

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Solution

The fourth proportional to 6,560.90, 9,843.04 and 2,178.40 is: 3,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.90 : 9,843.04 = 2,178.40 : x
  2. Step 2: Convert to fraction form
    6,560.90/9,843.04 = 2,178.40/x
  3. Step 3: Cross multiply
    6,560.90x = 9,843.04 × 2,178.40
  4. Step 4: Simplify right side
    6,560.90x = 21,442,078.34
  5. Step 5: Solve for x
    x = 21,442,078.34/6,560.90
  6. Step 6: Final answer
    x = 3,268.16

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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.