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Finding the Fourth Proportional to 14,709.75, 20,299.46 and 8,085.75

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Solution

The fourth proportional to 14,709.75, 20,299.46 and 8,085.75 is: 11,158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.75 : 20,299.46 = 8,085.75 : x
  2. Step 2: Convert to fraction form
    14,709.75/20,299.46 = 8,085.75/x
  3. Step 3: Cross multiply
    14,709.75x = 20,299.46 × 8,085.75
  4. Step 4: Simplify right side
    14,709.75x = 164,136,318.27
  5. Step 5: Solve for x
    x = 164,136,318.27/14,709.75
  6. Step 6: Final answer
    x = 11,158.34

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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.