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Finding the Fourth Proportional to 11,797.32, 16,274.88 and 7,546.26

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Solution

The fourth proportional to 11,797.32, 16,274.88 and 7,546.26 is: 10,410.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.32 : 16,274.88 = 7,546.26 : x
  2. Step 2: Convert to fraction form
    11,797.32/16,274.88 = 7,546.26/x
  3. Step 3: Cross multiply
    11,797.32x = 16,274.88 × 7,546.26
  4. Step 4: Simplify right side
    11,797.32x = 122,814,475.95
  5. Step 5: Solve for x
    x = 122,814,475.95/11,797.32
  6. Step 6: Final answer
    x = 10,410.37

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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.