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Finding the Fourth Proportional to 8,691.42, 11,993.50 and 4,914.94

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Solution

The fourth proportional to 8,691.42, 11,993.50 and 4,914.94 is: 6,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.42 : 11,993.50 = 4,914.94 : x
  2. Step 2: Convert to fraction form
    8,691.42/11,993.50 = 4,914.94/x
  3. Step 3: Cross multiply
    8,691.42x = 11,993.50 × 4,914.94
  4. Step 4: Simplify right side
    8,691.42x = 58,947,297.81
  5. Step 5: Solve for x
    x = 58,947,297.81/8,691.42
  6. Step 6: Final answer
    x = 6,782.24

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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.