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Finding the Fourth Proportional to 10,950.84, 15,112.17 and 5,982.84

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Solution

The fourth proportional to 10,950.84, 15,112.17 and 5,982.84 is: 8,256.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.84 : 15,112.17 = 5,982.84 : x
  2. Step 2: Convert to fraction form
    10,950.84/15,112.17 = 5,982.84/x
  3. Step 3: Cross multiply
    10,950.84x = 15,112.17 × 5,982.84
  4. Step 4: Simplify right side
    10,950.84x = 90,413,751.83
  5. Step 5: Solve for x
    x = 90,413,751.83/10,950.84
  6. Step 6: Final answer
    x = 8,256.33

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1.5x scale

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.