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Finding the Fourth Proportional to 10,917, 15,065.46 and 5,949

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Solution

The fourth proportional to 10,917, 15,065.46 and 5,949 is: 8,209.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917 : 15,065.46 = 5,949 : x
  2. Step 2: Convert to fraction form
    10,917/15,065.46 = 5,949/x
  3. Step 3: Cross multiply
    10,917x = 15,065.46 × 5,949
  4. Step 4: Simplify right side
    10,917x = 89,624,421.54
  5. Step 5: Solve for x
    x = 89,624,421.54/10,917
  6. Step 6: Final answer
    x = 8,209.62

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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.