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Finding the Fourth Proportional to 14,834.35, 20,471.97 and 8,461.98

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Solution

The fourth proportional to 14,834.35, 20,471.97 and 8,461.98 is: 11,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834.35 : 20,471.97 = 8,461.98 : x
  2. Step 2: Convert to fraction form
    14,834.35/20,471.97 = 8,461.98/x
  3. Step 3: Cross multiply
    14,834.35x = 20,471.97 × 8,461.98
  4. Step 4: Simplify right side
    14,834.35x = 173,233,426.29
  5. Step 5: Solve for x
    x = 173,233,426.29/14,834.35
  6. Step 6: Final answer
    x = 11,677.86

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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.