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Finding the Fourth Proportional to 8,407.44, 12,612.60 and 2,562.64

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Solution

The fourth proportional to 8,407.44, 12,612.60 and 2,562.64 is: 3,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.44 : 12,612.60 = 2,562.64 : x
  2. Step 2: Convert to fraction form
    8,407.44/12,612.60 = 2,562.64/x
  3. Step 3: Cross multiply
    8,407.44x = 12,612.60 × 2,562.64
  4. Step 4: Simplify right side
    8,407.44x = 32,321,553.26
  5. Step 5: Solve for x
    x = 32,321,553.26/8,407.44
  6. Step 6: Final answer
    x = 3,844.40

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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.