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Finding the Fourth Proportional to 6,649.02, 9,975.15 and 2,032.02

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Solution

The fourth proportional to 6,649.02, 9,975.15 and 2,032.02 is: 3,048.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.02 : 9,975.15 = 2,032.02 : x
  2. Step 2: Convert to fraction form
    6,649.02/9,975.15 = 2,032.02/x
  3. Step 3: Cross multiply
    6,649.02x = 9,975.15 × 2,032.02
  4. Step 4: Simplify right side
    6,649.02x = 20,269,704.30
  5. Step 5: Solve for x
    x = 20,269,704.30/6,649.02
  6. Step 6: Final answer
    x = 3,048.53

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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.