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Finding the Fourth Proportional to 6,451.35, 9,633.35 and 5,120.18

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Solution

The fourth proportional to 6,451.35, 9,633.35 and 5,120.18 is: 7,645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.35 : 9,633.35 = 5,120.18 : x
  2. Step 2: Convert to fraction form
    6,451.35/9,633.35 = 5,120.18/x
  3. Step 3: Cross multiply
    6,451.35x = 9,633.35 × 5,120.18
  4. Step 4: Simplify right side
    6,451.35x = 49,324,444.24
  5. Step 5: Solve for x
    x = 49,324,444.24/6,451.35
  6. Step 6: Final answer
    x = 7,645.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.