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Finding the Fourth Proportional to 10,914.70, 15,063.51 and 6,199.78

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Solution

The fourth proportional to 10,914.70, 15,063.51 and 6,199.78 is: 8,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.70 : 15,063.51 = 6,199.78 : x
  2. Step 2: Convert to fraction form
    10,914.70/15,063.51 = 6,199.78/x
  3. Step 3: Cross multiply
    10,914.70x = 15,063.51 × 6,199.78
  4. Step 4: Simplify right side
    10,914.70x = 93,390,448.03
  5. Step 5: Solve for x
    x = 93,390,448.03/10,914.70
  6. Step 6: Final answer
    x = 8,556.39

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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.