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Finding the Fourth Proportional to 27,818.80, 41,737.12 and 8,098.54

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Solution

The fourth proportional to 27,818.80, 41,737.12 and 8,098.54 is: 12,150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,818.80 : 41,737.12 = 8,098.54 : x
  2. Step 2: Convert to fraction form
    27,818.80/41,737.12 = 8,098.54/x
  3. Step 3: Cross multiply
    27,818.80x = 41,737.12 × 8,098.54
  4. Step 4: Simplify right side
    27,818.80x = 338,009,611.22
  5. Step 5: Solve for x
    x = 338,009,611.22/27,818.80
  6. Step 6: Final answer
    x = 12,150.40

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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.