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Finding the Fourth Proportional to 27,206.52, 40,813.86 and 8,488.44

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Solution

The fourth proportional to 27,206.52, 40,813.86 and 8,488.44 is: 12,733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,206.52 : 40,813.86 = 8,488.44 : x
  2. Step 2: Convert to fraction form
    27,206.52/40,813.86 = 8,488.44/x
  3. Step 3: Cross multiply
    27,206.52x = 40,813.86 × 8,488.44
  4. Step 4: Simplify right side
    27,206.52x = 346,446,001.78
  5. Step 5: Solve for x
    x = 346,446,001.78/27,206.52
  6. Step 6: Final answer
    x = 12,733.93

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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.