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Finding the Fourth Proportional to 18,646.34, 27,962.84 and 6,164.06

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Solution

The fourth proportional to 18,646.34, 27,962.84 and 6,164.06 is: 9,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646.34 : 27,962.84 = 6,164.06 : x
  2. Step 2: Convert to fraction form
    18,646.34/27,962.84 = 6,164.06/x
  3. Step 3: Cross multiply
    18,646.34x = 27,962.84 × 6,164.06
  4. Step 4: Simplify right side
    18,646.34x = 172,364,483.72
  5. Step 5: Solve for x
    x = 172,364,483.72/18,646.34
  6. Step 6: Final answer
    x = 9,243.88

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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.