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Finding the Fourth Proportional to 15,546.46, 21,453.27 and 8,922.46

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Solution

The fourth proportional to 15,546.46, 21,453.27 and 8,922.46 is: 12,312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,546.46 : 21,453.27 = 8,922.46 : x
  2. Step 2: Convert to fraction form
    15,546.46/21,453.27 = 8,922.46/x
  3. Step 3: Cross multiply
    15,546.46x = 21,453.27 × 8,922.46
  4. Step 4: Simplify right side
    15,546.46x = 191,415,943.44
  5. Step 5: Solve for x
    x = 191,415,943.44/15,546.46
  6. Step 6: Final answer
    x = 12,312.51

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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.