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Finding the Fourth Proportional to 13,857.75, 20,786.63 and 5,541.48

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Solution

The fourth proportional to 13,857.75, 20,786.63 and 5,541.48 is: 8,312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.75 : 20,786.63 = 5,541.48 : x
  2. Step 2: Convert to fraction form
    13,857.75/20,786.63 = 5,541.48/x
  3. Step 3: Cross multiply
    13,857.75x = 20,786.63 × 5,541.48
  4. Step 4: Simplify right side
    13,857.75x = 115,188,666.71
  5. Step 5: Solve for x
    x = 115,188,666.71/13,857.75
  6. Step 6: Final answer
    x = 8,312.22

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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.