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Finding the Fourth Proportional to 14,904.35, 20,568 and 8,189.97

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Solution

The fourth proportional to 14,904.35, 20,568 and 8,189.97 is: 11,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,904.35 : 20,568 = 8,189.97 : x
  2. Step 2: Convert to fraction form
    14,904.35/20,568 = 8,189.97/x
  3. Step 3: Cross multiply
    14,904.35x = 20,568 × 8,189.97
  4. Step 4: Simplify right side
    14,904.35x = 168,451,302.96
  5. Step 5: Solve for x
    x = 168,451,302.96/14,904.35
  6. Step 6: Final answer
    x = 11,302.16

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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.