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Finding the Fourth Proportional to 10,222.65, 15,336.27 and 3,649.50

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Solution

The fourth proportional to 10,222.65, 15,336.27 and 3,649.50 is: 5,475.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.65 : 15,336.27 = 3,649.50 : x
  2. Step 2: Convert to fraction form
    10,222.65/15,336.27 = 3,649.50/x
  3. Step 3: Cross multiply
    10,222.65x = 15,336.27 × 3,649.50
  4. Step 4: Simplify right side
    10,222.65x = 55,969,717.37
  5. Step 5: Solve for x
    x = 55,969,717.37/10,222.65
  6. Step 6: Final answer
    x = 5,475.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.