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Finding the Fourth Proportional to 14,908.54, 20,573.36 and 8,194.16

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Solution

The fourth proportional to 14,908.54, 20,573.36 and 8,194.16 is: 11,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,908.54 : 20,573.36 = 8,194.16 : x
  2. Step 2: Convert to fraction form
    14,908.54/20,573.36 = 8,194.16/x
  3. Step 3: Cross multiply
    14,908.54x = 20,573.36 × 8,194.16
  4. Step 4: Simplify right side
    14,908.54x = 168,581,403.58
  5. Step 5: Solve for x
    x = 168,581,403.58/14,908.54
  6. Step 6: Final answer
    x = 11,307.71

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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.