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Finding the Fourth Proportional to 8,648.70, 12,971.76 and 2,408.06

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Solution

The fourth proportional to 8,648.70, 12,971.76 and 2,408.06 is: 3,611.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.70 : 12,971.76 = 2,408.06 : x
  2. Step 2: Convert to fraction form
    8,648.70/12,971.76 = 2,408.06/x
  3. Step 3: Cross multiply
    8,648.70x = 12,971.76 × 2,408.06
  4. Step 4: Simplify right side
    8,648.70x = 31,236,776.39
  5. Step 5: Solve for x
    x = 31,236,776.39/8,648.70
  6. Step 6: Final answer
    x = 3,611.73

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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.