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Finding the Fourth Proportional to 8,649.75, 12,976.80 and 2,493.75

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Solution

The fourth proportional to 8,649.75, 12,976.80 and 2,493.75 is: 3,741.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.75 : 12,976.80 = 2,493.75 : x
  2. Step 2: Convert to fraction form
    8,649.75/12,976.80 = 2,493.75/x
  3. Step 3: Cross multiply
    8,649.75x = 12,976.80 × 2,493.75
  4. Step 4: Simplify right side
    8,649.75x = 32,360,895
  5. Step 5: Solve for x
    x = 32,360,895/8,649.75
  6. Step 6: Final answer
    x = 3,741.25

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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.