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Finding the Fourth Proportional to 11,526, 15,906.96 and 6,558

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Solution

The fourth proportional to 11,526, 15,906.96 and 6,558 is: 9,050.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,526 : 15,906.96 = 6,558 : x
  2. Step 2: Convert to fraction form
    11,526/15,906.96 = 6,558/x
  3. Step 3: Cross multiply
    11,526x = 15,906.96 × 6,558
  4. Step 4: Simplify right side
    11,526x = 104,317,843.68
  5. Step 5: Solve for x
    x = 104,317,843.68/11,526
  6. Step 6: Final answer
    x = 9,050.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.