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Finding the Fourth Proportional to 11,196.06, 16,811.10 and 9,563.10

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Solution

The fourth proportional to 11,196.06, 16,811.10 and 9,563.10 is: 14,359.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,196.06 : 16,811.10 = 9,563.10 : x
  2. Step 2: Convert to fraction form
    11,196.06/16,811.10 = 9,563.10/x
  3. Step 3: Cross multiply
    11,196.06x = 16,811.10 × 9,563.10
  4. Step 4: Simplify right side
    11,196.06x = 160,766,230.41
  5. Step 5: Solve for x
    x = 160,766,230.41/11,196.06
  6. Step 6: Final answer
    x = 14,359.18

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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.