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Finding the Fourth Proportional to 14,834.61, 20,469.78 and 8,462.07

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Solution

The fourth proportional to 14,834.61, 20,469.78 and 8,462.07 is: 11,676.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834.61 : 20,469.78 = 8,462.07 : x
  2. Step 2: Convert to fraction form
    14,834.61/20,469.78 = 8,462.07/x
  3. Step 3: Cross multiply
    14,834.61x = 20,469.78 × 8,462.07
  4. Step 4: Simplify right side
    14,834.61x = 173,216,711.24
  5. Step 5: Solve for x
    x = 173,216,711.24/14,834.61
  6. Step 6: Final answer
    x = 11,676.53

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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.