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Finding the Fourth Proportional to 13,016.78, 17,963.16 and 7,048.44

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Solution

The fourth proportional to 13,016.78, 17,963.16 and 7,048.44 is: 9,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.78 : 17,963.16 = 7,048.44 : x
  2. Step 2: Convert to fraction form
    13,016.78/17,963.16 = 7,048.44/x
  3. Step 3: Cross multiply
    13,016.78x = 17,963.16 × 7,048.44
  4. Step 4: Simplify right side
    13,016.78x = 126,612,255.47
  5. Step 5: Solve for x
    x = 126,612,255.47/13,016.78
  6. Step 6: Final answer
    x = 9,726.85

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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.