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Finding the Fourth Proportional to 18,534.78, 27,805.80 and 8,146.50

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Solution

The fourth proportional to 18,534.78, 27,805.80 and 8,146.50 is: 12,221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,534.78 : 27,805.80 = 8,146.50 : x
  2. Step 2: Convert to fraction form
    18,534.78/27,805.80 = 8,146.50/x
  3. Step 3: Cross multiply
    18,534.78x = 27,805.80 × 8,146.50
  4. Step 4: Simplify right side
    18,534.78x = 226,519,949.70
  5. Step 5: Solve for x
    x = 226,519,949.70/18,534.78
  6. Step 6: Final answer
    x = 12,221.35

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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.