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Finding the Fourth Proportional to 13,685.56, 18,890.76 and 8,022.13

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Solution

The fourth proportional to 13,685.56, 18,890.76 and 8,022.13 is: 11,073.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.56 : 18,890.76 = 8,022.13 : x
  2. Step 2: Convert to fraction form
    13,685.56/18,890.76 = 8,022.13/x
  3. Step 3: Cross multiply
    13,685.56x = 18,890.76 × 8,022.13
  4. Step 4: Simplify right side
    13,685.56x = 151,544,132.52
  5. Step 5: Solve for x
    x = 151,544,132.52/13,685.56
  6. Step 6: Final answer
    x = 11,073.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.