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Finding the Fourth Proportional to 18,034.29, 27,051.42 and 6,946.20

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Solution

The fourth proportional to 18,034.29, 27,051.42 and 6,946.20 is: 10,419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,034.29 : 27,051.42 = 6,946.20 : x
  2. Step 2: Convert to fraction form
    18,034.29/27,051.42 = 6,946.20/x
  3. Step 3: Cross multiply
    18,034.29x = 27,051.42 × 6,946.20
  4. Step 4: Simplify right side
    18,034.29x = 187,904,573.60
  5. Step 5: Solve for x
    x = 187,904,573.60/18,034.29
  6. Step 6: Final answer
    x = 10,419.29

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1.5x scale

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.