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Finding the Fourth Proportional to 8,646.53, 12,967.74 and 3,963.62

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Solution

The fourth proportional to 8,646.53, 12,967.74 and 3,963.62 is: 5,944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.53 : 12,967.74 = 3,963.62 : x
  2. Step 2: Convert to fraction form
    8,646.53/12,967.74 = 3,963.62/x
  3. Step 3: Cross multiply
    8,646.53x = 12,967.74 × 3,963.62
  4. Step 4: Simplify right side
    8,646.53x = 51,399,226.04
  5. Step 5: Solve for x
    x = 51,399,226.04/8,646.53
  6. Step 6: Final answer
    x = 5,944.50

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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.