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Finding the Fourth Proportional to 8,991.75, 12,408.63 and 5,013

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Solution

The fourth proportional to 8,991.75, 12,408.63 and 5,013 is: 6,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,991.75 : 12,408.63 = 5,013 : x
  2. Step 2: Convert to fraction form
    8,991.75/12,408.63 = 5,013/x
  3. Step 3: Cross multiply
    8,991.75x = 12,408.63 × 5,013
  4. Step 4: Simplify right side
    8,991.75x = 62,204,462.19
  5. Step 5: Solve for x
    x = 62,204,462.19/8,991.75
  6. Step 6: Final answer
    x = 6,917.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.