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Finding the Fourth Proportional to 6,398.93, 9,594.28 and 4,201.00

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Solution

The fourth proportional to 6,398.93, 9,594.28 and 4,201.00 is: 6,298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.93 : 9,594.28 = 4,201.00 : x
  2. Step 2: Convert to fraction form
    6,398.93/9,594.28 = 4,201.00/x
  3. Step 3: Cross multiply
    6,398.93x = 9,594.28 × 4,201.00
  4. Step 4: Simplify right side
    6,398.93x = 40,305,551.55
  5. Step 5: Solve for x
    x = 40,305,551.55/6,398.93
  6. Step 6: Final answer
    x = 6,298.79

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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.