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Finding the Fourth Proportional to 14,867.98, 20,517.51 and 9,201.22

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Solution

The fourth proportional to 14,867.98, 20,517.51 and 9,201.22 is: 12,697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,867.98 : 20,517.51 = 9,201.22 : x
  2. Step 2: Convert to fraction form
    14,867.98/20,517.51 = 9,201.22/x
  3. Step 3: Cross multiply
    14,867.98x = 20,517.51 × 9,201.22
  4. Step 4: Simplify right side
    14,867.98x = 188,786,077.36
  5. Step 5: Solve for x
    x = 188,786,077.36/14,867.98
  6. Step 6: Final answer
    x = 12,697.49

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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.