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Finding the Fourth Proportional to 27,797.49, 41,686.41 and 8,071.95

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Solution

The fourth proportional to 27,797.49, 41,686.41 and 8,071.95 is: 12,105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,797.49 : 41,686.41 = 8,071.95 : x
  2. Step 2: Convert to fraction form
    27,797.49/41,686.41 = 8,071.95/x
  3. Step 3: Cross multiply
    27,797.49x = 41,686.41 × 8,071.95
  4. Step 4: Simplify right side
    27,797.49x = 336,490,617.20
  5. Step 5: Solve for x
    x = 336,490,617.20/27,797.49
  6. Step 6: Final answer
    x = 12,105.07

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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.