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Finding the Fourth Proportional to 6,340.55, 9,504.14 and 3,046.68

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Solution

The fourth proportional to 6,340.55, 9,504.14 and 3,046.68 is: 4,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.55 : 9,504.14 = 3,046.68 : x
  2. Step 2: Convert to fraction form
    6,340.55/9,504.14 = 3,046.68/x
  3. Step 3: Cross multiply
    6,340.55x = 9,504.14 × 3,046.68
  4. Step 4: Simplify right side
    6,340.55x = 28,956,058.02
  5. Step 5: Solve for x
    x = 28,956,058.02/6,340.55
  6. Step 6: Final answer
    x = 4,566.81

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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.