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Finding the Fourth Proportional to 6,383.10, 9,574.65 and 4,194.30

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Solution

The fourth proportional to 6,383.10, 9,574.65 and 4,194.30 is: 6,291.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.10 : 9,574.65 = 4,194.30 : x
  2. Step 2: Convert to fraction form
    6,383.10/9,574.65 = 4,194.30/x
  3. Step 3: Cross multiply
    6,383.10x = 9,574.65 × 4,194.30
  4. Step 4: Simplify right side
    6,383.10x = 40,158,954.50
  5. Step 5: Solve for x
    x = 40,158,954.50/6,383.10
  6. Step 6: Final answer
    x = 6,291.45

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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.