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Finding the Fourth Proportional to 11,496.48, 17,228.22 and 6,555.90

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Solution

The fourth proportional to 11,496.48, 17,228.22 and 6,555.90 is: 9,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.48 : 17,228.22 = 6,555.90 : x
  2. Step 2: Convert to fraction form
    11,496.48/17,228.22 = 6,555.90/x
  3. Step 3: Cross multiply
    11,496.48x = 17,228.22 × 6,555.90
  4. Step 4: Simplify right side
    11,496.48x = 112,946,487.50
  5. Step 5: Solve for x
    x = 112,946,487.50/11,496.48
  6. Step 6: Final answer
    x = 9,824.44

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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.