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Finding the Fourth Proportional to 8,404.63, 12,608.80 and 2,561.69

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Solution

The fourth proportional to 8,404.63, 12,608.80 and 2,561.69 is: 3,843.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.63 : 12,608.80 = 2,561.69 : x
  2. Step 2: Convert to fraction form
    8,404.63/12,608.80 = 2,561.69/x
  3. Step 3: Cross multiply
    8,404.63x = 12,608.80 × 2,561.69
  4. Step 4: Simplify right side
    8,404.63x = 32,299,861.99
  5. Step 5: Solve for x
    x = 32,299,861.99/8,404.63
  6. Step 6: Final answer
    x = 3,843.10

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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.