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Finding the Fourth Proportional to 6,409.01, 9,612.50 and 2,027.50

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Solution

The fourth proportional to 6,409.01, 9,612.50 and 2,027.50 is: 3,040.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.01 : 9,612.50 = 2,027.50 : x
  2. Step 2: Convert to fraction form
    6,409.01/9,612.50 = 2,027.50/x
  3. Step 3: Cross multiply
    6,409.01x = 9,612.50 × 2,027.50
  4. Step 4: Simplify right side
    6,409.01x = 19,489,309.58
  5. Step 5: Solve for x
    x = 19,489,309.58/6,409.01
  6. Step 6: Final answer
    x = 3,040.92

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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.