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Finding the Fourth Proportional to 12,291, 16,963.03 and 6,986.61

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Solution

The fourth proportional to 12,291, 16,963.03 and 6,986.61 is: 9,642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291 : 16,963.03 = 6,986.61 : x
  2. Step 2: Convert to fraction form
    12,291/16,963.03 = 6,986.61/x
  3. Step 3: Cross multiply
    12,291x = 16,963.03 × 6,986.61
  4. Step 4: Simplify right side
    12,291x = 118,514,057.56
  5. Step 5: Solve for x
    x = 118,514,057.56/12,291
  6. Step 6: Final answer
    x = 9,642.34

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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.