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Finding the Fourth Proportional to 13,761.28, 18,990.72 and 8,097.28

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Solution

The fourth proportional to 13,761.28, 18,990.72 and 8,097.28 is: 11,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.28 : 18,990.72 = 8,097.28 : x
  2. Step 2: Convert to fraction form
    13,761.28/18,990.72 = 8,097.28/x
  3. Step 3: Cross multiply
    13,761.28x = 18,990.72 × 8,097.28
  4. Step 4: Simplify right side
    13,761.28x = 153,773,177.24
  5. Step 5: Solve for x
    x = 153,773,177.24/13,761.28
  6. Step 6: Final answer
    x = 11,174.34

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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.