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Finding the Fourth Proportional to 8,404.97, 12,609.68 and 2,561.63

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Solution

The fourth proportional to 8,404.97, 12,609.68 and 2,561.63 is: 3,843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.97 : 12,609.68 = 2,561.63 : x
  2. Step 2: Convert to fraction form
    8,404.97/12,609.68 = 2,561.63/x
  3. Step 3: Cross multiply
    8,404.97x = 12,609.68 × 2,561.63
  4. Step 4: Simplify right side
    8,404.97x = 32,301,258.72
  5. Step 5: Solve for x
    x = 32,301,258.72/8,404.97
  6. Step 6: Final answer
    x = 3,843.12

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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.