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Finding the Fourth Proportional to 11,743.97, 16,203.11 and 7,266.15

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Solution

The fourth proportional to 11,743.97, 16,203.11 and 7,266.15 is: 10,025.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743.97 : 16,203.11 = 7,266.15 : x
  2. Step 2: Convert to fraction form
    11,743.97/16,203.11 = 7,266.15/x
  3. Step 3: Cross multiply
    11,743.97x = 16,203.11 × 7,266.15
  4. Step 4: Simplify right side
    11,743.97x = 117,734,191.40
  5. Step 5: Solve for x
    x = 117,734,191.40/11,743.97
  6. Step 6: Final answer
    x = 10,025.08

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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.