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Finding the Fourth Proportional to 18,543.88, 27,814.20 and 6,857.20

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Solution

The fourth proportional to 18,543.88, 27,814.20 and 6,857.20 is: 10,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,543.88 : 27,814.20 = 6,857.20 : x
  2. Step 2: Convert to fraction form
    18,543.88/27,814.20 = 6,857.20/x
  3. Step 3: Cross multiply
    18,543.88x = 27,814.20 × 6,857.20
  4. Step 4: Simplify right side
    18,543.88x = 190,727,532.24
  5. Step 5: Solve for x
    x = 190,727,532.24/18,543.88
  6. Step 6: Final answer
    x = 10,285.20

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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.