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Finding the Fourth Proportional to 11,196.43, 16,798.05 and 6,269.50

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Solution

The fourth proportional to 11,196.43, 16,798.05 and 6,269.50 is: 9,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,196.43 : 16,798.05 = 6,269.50 : x
  2. Step 2: Convert to fraction form
    11,196.43/16,798.05 = 6,269.50/x
  3. Step 3: Cross multiply
    11,196.43x = 16,798.05 × 6,269.50
  4. Step 4: Simplify right side
    11,196.43x = 105,315,395.47
  5. Step 5: Solve for x
    x = 105,315,395.47/11,196.43
  6. Step 6: Final answer
    x = 9,406.16

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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.