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Finding the Fourth Proportional to 10,578.39, 14,591.58 and 6,806.48

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Solution

The fourth proportional to 10,578.39, 14,591.58 and 6,806.48 is: 9,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.39 : 14,591.58 = 6,806.48 : x
  2. Step 2: Convert to fraction form
    10,578.39/14,591.58 = 6,806.48/x
  3. Step 3: Cross multiply
    10,578.39x = 14,591.58 × 6,806.48
  4. Step 4: Simplify right side
    10,578.39x = 99,317,224.48
  5. Step 5: Solve for x
    x = 99,317,224.48/10,578.39
  6. Step 6: Final answer
    x = 9,388.69

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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.