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Finding the Fourth Proportional to 27,804.71, 41,708.12 and 8,083.44

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Solution

The fourth proportional to 27,804.71, 41,708.12 and 8,083.44 is: 12,125.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,804.71 : 41,708.12 = 8,083.44 : x
  2. Step 2: Convert to fraction form
    27,804.71/41,708.12 = 8,083.44/x
  3. Step 3: Cross multiply
    27,804.71x = 41,708.12 × 8,083.44
  4. Step 4: Simplify right side
    27,804.71x = 337,145,045.12
  5. Step 5: Solve for x
    x = 337,145,045.12/27,804.71
  6. Step 6: Final answer
    x = 12,125.46

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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.