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Finding the Fourth Proportional to 6,424.80, 9,630.58 and 3,133.82

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Solution

The fourth proportional to 6,424.80, 9,630.58 and 3,133.82 is: 4,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.80 : 9,630.58 = 3,133.82 : x
  2. Step 2: Convert to fraction form
    6,424.80/9,630.58 = 3,133.82/x
  3. Step 3: Cross multiply
    6,424.80x = 9,630.58 × 3,133.82
  4. Step 4: Simplify right side
    6,424.80x = 30,180,504.22
  5. Step 5: Solve for x
    x = 30,180,504.22/6,424.80
  6. Step 6: Final answer
    x = 4,697.50

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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.