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Finding the Fourth Proportional to 7,725.68, 11,581.64 and 2,794.22

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Solution

The fourth proportional to 7,725.68, 11,581.64 and 2,794.22 is: 4,188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.68 : 11,581.64 = 2,794.22 : x
  2. Step 2: Convert to fraction form
    7,725.68/11,581.64 = 2,794.22/x
  3. Step 3: Cross multiply
    7,725.68x = 11,581.64 × 2,794.22
  4. Step 4: Simplify right side
    7,725.68x = 32,361,607.20
  5. Step 5: Solve for x
    x = 32,361,607.20/7,725.68
  6. Step 6: Final answer
    x = 4,188.84

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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.