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Finding the Fourth Proportional to 13,842.71, 20,764.97 and 5,083.77

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Solution

The fourth proportional to 13,842.71, 20,764.97 and 5,083.77 is: 7,625.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.71 : 20,764.97 = 5,083.77 : x
  2. Step 2: Convert to fraction form
    13,842.71/20,764.97 = 5,083.77/x
  3. Step 3: Cross multiply
    13,842.71x = 20,764.97 × 5,083.77
  4. Step 4: Simplify right side
    13,842.71x = 105,564,331.54
  5. Step 5: Solve for x
    x = 105,564,331.54/13,842.71
  6. Step 6: Final answer
    x = 7,625.99

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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.