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Finding the Fourth Proportional to 6,407.22, 9,612.13 and 2,709.44

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Solution

The fourth proportional to 6,407.22, 9,612.13 and 2,709.44 is: 4,064.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.22 : 9,612.13 = 2,709.44 : x
  2. Step 2: Convert to fraction form
    6,407.22/9,612.13 = 2,709.44/x
  3. Step 3: Cross multiply
    6,407.22x = 9,612.13 × 2,709.44
  4. Step 4: Simplify right side
    6,407.22x = 26,043,489.51
  5. Step 5: Solve for x
    x = 26,043,489.51/6,407.22
  6. Step 6: Final answer
    x = 4,064.71

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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.