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Finding the Fourth Proportional to 16,466.40, 24,683.40 and 8,147.70

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Solution

The fourth proportional to 16,466.40, 24,683.40 and 8,147.70 is: 12,213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466.40 : 24,683.40 = 8,147.70 : x
  2. Step 2: Convert to fraction form
    16,466.40/24,683.40 = 8,147.70/x
  3. Step 3: Cross multiply
    16,466.40x = 24,683.40 × 8,147.70
  4. Step 4: Simplify right side
    16,466.40x = 201,112,938.18
  5. Step 5: Solve for x
    x = 201,112,938.18/16,466.40
  6. Step 6: Final answer
    x = 12,213.53

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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.