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Finding the Fourth Proportional to 11,564.70, 17,334.90 and 6,623.70

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Solution

The fourth proportional to 11,564.70, 17,334.90 and 6,623.70 is: 9,928.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.70 : 17,334.90 = 6,623.70 : x
  2. Step 2: Convert to fraction form
    11,564.70/17,334.90 = 6,623.70/x
  3. Step 3: Cross multiply
    11,564.70x = 17,334.90 × 6,623.70
  4. Step 4: Simplify right side
    11,564.70x = 114,821,177.13
  5. Step 5: Solve for x
    x = 114,821,177.13/11,564.70
  6. Step 6: Final answer
    x = 9,928.59

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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.