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Finding the Fourth Proportional to 6,309.70, 9,458.55 and 2,359.90

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Solution

The fourth proportional to 6,309.70, 9,458.55 and 2,359.90 is: 3,537.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.70 : 9,458.55 = 2,359.90 : x
  2. Step 2: Convert to fraction form
    6,309.70/9,458.55 = 2,359.90/x
  3. Step 3: Cross multiply
    6,309.70x = 9,458.55 × 2,359.90
  4. Step 4: Simplify right side
    6,309.70x = 22,321,232.15
  5. Step 5: Solve for x
    x = 22,321,232.15/6,309.70
  6. Step 6: Final answer
    x = 3,537.61

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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.