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Finding the Fourth Proportional to 6,334.60, 9,509.10 and 2,639.56

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Solution

The fourth proportional to 6,334.60, 9,509.10 and 2,639.56 is: 3,962.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.60 : 9,509.10 = 2,639.56 : x
  2. Step 2: Convert to fraction form
    6,334.60/9,509.10 = 2,639.56/x
  3. Step 3: Cross multiply
    6,334.60x = 9,509.10 × 2,639.56
  4. Step 4: Simplify right side
    6,334.60x = 25,099,840.00
  5. Step 5: Solve for x
    x = 25,099,840.00/6,334.60
  6. Step 6: Final answer
    x = 3,962.34

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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.