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Finding the Fourth Proportional to 14,834.85, 20,471.06 and 8,461.71

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Solution

The fourth proportional to 14,834.85, 20,471.06 and 8,461.71 is: 11,676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834.85 : 20,471.06 = 8,461.71 : x
  2. Step 2: Convert to fraction form
    14,834.85/20,471.06 = 8,461.71/x
  3. Step 3: Cross multiply
    14,834.85x = 20,471.06 × 8,461.71
  4. Step 4: Simplify right side
    14,834.85x = 173,220,130.80
  5. Step 5: Solve for x
    x = 173,220,130.80/14,834.85
  6. Step 6: Final answer
    x = 11,676.57

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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.