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Finding the Fourth Proportional to 13,002.75, 17,943.75 and 7,034.42

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Solution

The fourth proportional to 13,002.75, 17,943.75 and 7,034.42 is: 9,707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.75 : 17,943.75 = 7,034.42 : x
  2. Step 2: Convert to fraction form
    13,002.75/17,943.75 = 7,034.42/x
  3. Step 3: Cross multiply
    13,002.75x = 17,943.75 × 7,034.42
  4. Step 4: Simplify right side
    13,002.75x = 126,223,918.73
  5. Step 5: Solve for x
    x = 126,223,918.73/13,002.75
  6. Step 6: Final answer
    x = 9,707.48

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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.