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Finding the Fourth Proportional to 11,683.66, 17,524.05 and 4,758.22

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Solution

The fourth proportional to 11,683.66, 17,524.05 and 4,758.22 is: 7,136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.66 : 17,524.05 = 4,758.22 : x
  2. Step 2: Convert to fraction form
    11,683.66/17,524.05 = 4,758.22/x
  3. Step 3: Cross multiply
    11,683.66x = 17,524.05 × 4,758.22
  4. Step 4: Simplify right side
    11,683.66x = 83,383,285.19
  5. Step 5: Solve for x
    x = 83,383,285.19/11,683.66
  6. Step 6: Final answer
    x = 7,136.74

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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.