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Finding the Fourth Proportional to 11,001, 16,498.26 and 3,207.96

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Solution

The fourth proportional to 11,001, 16,498.26 and 3,207.96 is: 4,811.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,001 : 16,498.26 = 3,207.96 : x
  2. Step 2: Convert to fraction form
    11,001/16,498.26 = 3,207.96/x
  3. Step 3: Cross multiply
    11,001x = 16,498.26 × 3,207.96
  4. Step 4: Simplify right side
    11,001x = 52,925,758.15
  5. Step 5: Solve for x
    x = 52,925,758.15/11,001
  6. Step 6: Final answer
    x = 4,811.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.