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Finding the Fourth Proportional to 18,147.46, 27,205.80 and 8,283.28

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Solution

The fourth proportional to 18,147.46, 27,205.80 and 8,283.28 is: 12,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,147.46 : 27,205.80 = 8,283.28 : x
  2. Step 2: Convert to fraction form
    18,147.46/27,205.80 = 8,283.28/x
  3. Step 3: Cross multiply
    18,147.46x = 27,205.80 × 8,283.28
  4. Step 4: Simplify right side
    18,147.46x = 225,353,259.02
  5. Step 5: Solve for x
    x = 225,353,259.02/18,147.46
  6. Step 6: Final answer
    x = 12,417.90

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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.