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Finding the Fourth Proportional to 13,885.92, 20,828.88 and 6,094.80

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Solution

The fourth proportional to 13,885.92, 20,828.88 and 6,094.80 is: 9,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.92 : 20,828.88 = 6,094.80 : x
  2. Step 2: Convert to fraction form
    13,885.92/20,828.88 = 6,094.80/x
  3. Step 3: Cross multiply
    13,885.92x = 20,828.88 × 6,094.80
  4. Step 4: Simplify right side
    13,885.92x = 126,947,857.82
  5. Step 5: Solve for x
    x = 126,947,857.82/13,885.92
  6. Step 6: Final answer
    x = 9,142.20

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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.