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Finding the Fourth Proportional to 6,495.52, 9,751.92 and 3,419.68

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Solution

The fourth proportional to 6,495.52, 9,751.92 and 3,419.68 is: 5,134.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.52 : 9,751.92 = 3,419.68 : x
  2. Step 2: Convert to fraction form
    6,495.52/9,751.92 = 3,419.68/x
  3. Step 3: Cross multiply
    6,495.52x = 9,751.92 × 3,419.68
  4. Step 4: Simplify right side
    6,495.52x = 33,348,445.79
  5. Step 5: Solve for x
    x = 33,348,445.79/6,495.52
  6. Step 6: Final answer
    x = 5,134.07

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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.