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Finding the Fourth Proportional to 18,033.56, 27,047 and 4,884.22

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Solution

The fourth proportional to 18,033.56, 27,047 and 4,884.22 is: 7,325.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,033.56 : 27,047 = 4,884.22 : x
  2. Step 2: Convert to fraction form
    18,033.56/27,047 = 4,884.22/x
  3. Step 3: Cross multiply
    18,033.56x = 27,047 × 4,884.22
  4. Step 4: Simplify right side
    18,033.56x = 132,103,498.34
  5. Step 5: Solve for x
    x = 132,103,498.34/18,033.56
  6. Step 6: Final answer
    x = 7,325.43

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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.