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Finding the Fourth Proportional to 18,646.47, 27,970.38 and 6,166.80

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Solution

The fourth proportional to 18,646.47, 27,970.38 and 6,166.80 is: 9,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646.47 : 27,970.38 = 6,166.80 : x
  2. Step 2: Convert to fraction form
    18,646.47/27,970.38 = 6,166.80/x
  3. Step 3: Cross multiply
    18,646.47x = 27,970.38 × 6,166.80
  4. Step 4: Simplify right side
    18,646.47x = 172,487,739.38
  5. Step 5: Solve for x
    x = 172,487,739.38/18,646.47
  6. Step 6: Final answer
    x = 9,250.42

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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.