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Finding the Fourth Proportional to 13,078.80, 18,047.88 and 8,042.22

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Solution

The fourth proportional to 13,078.80, 18,047.88 and 8,042.22 is: 11,097.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.80 : 18,047.88 = 8,042.22 : x
  2. Step 2: Convert to fraction form
    13,078.80/18,047.88 = 8,042.22/x
  3. Step 3: Cross multiply
    13,078.80x = 18,047.88 × 8,042.22
  4. Step 4: Simplify right side
    13,078.80x = 145,145,021.49
  5. Step 5: Solve for x
    x = 145,145,021.49/13,078.80
  6. Step 6: Final answer
    x = 11,097.73

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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.