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Finding the Fourth Proportional to 13,792.92, 20,689.42 and 5,027.82

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Solution

The fourth proportional to 13,792.92, 20,689.42 and 5,027.82 is: 7,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.92 : 20,689.42 = 5,027.82 : x
  2. Step 2: Convert to fraction form
    13,792.92/20,689.42 = 5,027.82/x
  3. Step 3: Cross multiply
    13,792.92x = 20,689.42 × 5,027.82
  4. Step 4: Simplify right side
    13,792.92x = 104,022,679.66
  5. Step 5: Solve for x
    x = 104,022,679.66/13,792.92
  6. Step 6: Final answer
    x = 7,541.74

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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.