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Finding the Fourth Proportional to 8,407.68, 12,611.84 and 2,564.80

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Solution

The fourth proportional to 8,407.68, 12,611.84 and 2,564.80 is: 3,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.68 : 12,611.84 = 2,564.80 : x
  2. Step 2: Convert to fraction form
    8,407.68/12,611.84 = 2,564.80/x
  3. Step 3: Cross multiply
    8,407.68x = 12,611.84 × 2,564.80
  4. Step 4: Simplify right side
    8,407.68x = 32,346,847.23
  5. Step 5: Solve for x
    x = 32,346,847.23/8,407.68
  6. Step 6: Final answer
    x = 3,847.30

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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.