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Finding the Fourth Proportional to 7,602.75, 11,404.13 and 2,408.63

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Solution

The fourth proportional to 7,602.75, 11,404.13 and 2,408.63 is: 3,612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.75 : 11,404.13 = 2,408.63 : x
  2. Step 2: Convert to fraction form
    7,602.75/11,404.13 = 2,408.63/x
  3. Step 3: Cross multiply
    7,602.75x = 11,404.13 × 2,408.63
  4. Step 4: Simplify right side
    7,602.75x = 27,468,260.58
  5. Step 5: Solve for x
    x = 27,468,260.58/7,602.75
  6. Step 6: Final answer
    x = 3,612.94

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Similar ratio
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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.