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Finding the Fourth Proportional to 13,828.68, 20,728.44 and 9,950.40

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Solution

The fourth proportional to 13,828.68, 20,728.44 and 9,950.40 is: 14,915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828.68 : 20,728.44 = 9,950.40 : x
  2. Step 2: Convert to fraction form
    13,828.68/20,728.44 = 9,950.40/x
  3. Step 3: Cross multiply
    13,828.68x = 20,728.44 × 9,950.40
  4. Step 4: Simplify right side
    13,828.68x = 206,256,269.38
  5. Step 5: Solve for x
    x = 206,256,269.38/13,828.68
  6. Step 6: Final answer
    x = 14,915.11

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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.