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Finding the Fourth Proportional to 11,796.62, 16,271 and 8,017.56

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Solution

The fourth proportional to 11,796.62, 16,271 and 8,017.56 is: 11,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.62 : 16,271 = 8,017.56 : x
  2. Step 2: Convert to fraction form
    11,796.62/16,271 = 8,017.56/x
  3. Step 3: Cross multiply
    11,796.62x = 16,271 × 8,017.56
  4. Step 4: Simplify right side
    11,796.62x = 130,453,718.76
  5. Step 5: Solve for x
    x = 130,453,718.76/11,796.62
  6. Step 6: Final answer
    x = 11,058.57

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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.