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Finding the Fourth Proportional to 12,291.01, 16,968.59 and 8,111.41

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Solution

The fourth proportional to 12,291.01, 16,968.59 and 8,111.41 is: 11,198.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.01 : 16,968.59 = 8,111.41 : x
  2. Step 2: Convert to fraction form
    12,291.01/16,968.59 = 8,111.41/x
  3. Step 3: Cross multiply
    12,291.01x = 16,968.59 × 8,111.41
  4. Step 4: Simplify right side
    12,291.01x = 137,639,138.05
  5. Step 5: Solve for x
    x = 137,639,138.05/12,291.01
  6. Step 6: Final answer
    x = 11,198.36

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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.