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Finding the Fourth Proportional to 6,751.45, 10,132.64 and 3,465.48

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Solution

The fourth proportional to 6,751.45, 10,132.64 and 3,465.48 is: 5,201.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.45 : 10,132.64 = 3,465.48 : x
  2. Step 2: Convert to fraction form
    6,751.45/10,132.64 = 3,465.48/x
  3. Step 3: Cross multiply
    6,751.45x = 10,132.64 × 3,465.48
  4. Step 4: Simplify right side
    6,751.45x = 35,114,514.43
  5. Step 5: Solve for x
    x = 35,114,514.43/6,751.45
  6. Step 6: Final answer
    x = 5,201.03

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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.