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Finding the Fourth Proportional to 6,370.66, 9,550.54 and 2,419.68

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Solution

The fourth proportional to 6,370.66, 9,550.54 and 2,419.68 is: 3,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370.66 : 9,550.54 = 2,419.68 : x
  2. Step 2: Convert to fraction form
    6,370.66/9,550.54 = 2,419.68/x
  3. Step 3: Cross multiply
    6,370.66x = 9,550.54 × 2,419.68
  4. Step 4: Simplify right side
    6,370.66x = 23,109,289.47
  5. Step 5: Solve for x
    x = 23,109,289.47/6,370.66
  6. Step 6: Final answer
    x = 3,627.46

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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.