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Finding the Fourth Proportional to 18,646.30, 27,963.52 and 6,164

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Solution

The fourth proportional to 18,646.30, 27,963.52 and 6,164 is: 9,244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646.30 : 27,963.52 = 6,164 : x
  2. Step 2: Convert to fraction form
    18,646.30/27,963.52 = 6,164/x
  3. Step 3: Cross multiply
    18,646.30x = 27,963.52 × 6,164
  4. Step 4: Simplify right side
    18,646.30x = 172,367,137.28
  5. Step 5: Solve for x
    x = 172,367,137.28/18,646.30
  6. Step 6: Final answer
    x = 9,244.04

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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.