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Finding the Fourth Proportional to 6,201.63, 9,303.26 and 2,305.53

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Solution

The fourth proportional to 6,201.63, 9,303.26 and 2,305.53 is: 3,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.63 : 9,303.26 = 2,305.53 : x
  2. Step 2: Convert to fraction form
    6,201.63/9,303.26 = 2,305.53/x
  3. Step 3: Cross multiply
    6,201.63x = 9,303.26 × 2,305.53
  4. Step 4: Simplify right side
    6,201.63x = 21,448,933.50
  5. Step 5: Solve for x
    x = 21,448,933.50/6,201.63
  6. Step 6: Final answer
    x = 3,458.60

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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.