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Finding the Fourth Proportional to 27,447.68, 41,171.52 and 6,671

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Solution

The fourth proportional to 27,447.68, 41,171.52 and 6,671 is: 10,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,447.68 : 41,171.52 = 6,671 : x
  2. Step 2: Convert to fraction form
    27,447.68/41,171.52 = 6,671/x
  3. Step 3: Cross multiply
    27,447.68x = 41,171.52 × 6,671
  4. Step 4: Simplify right side
    27,447.68x = 274,655,209.92
  5. Step 5: Solve for x
    x = 274,655,209.92/27,447.68
  6. Step 6: Final answer
    x = 10,006.50

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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.