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Finding the Fourth Proportional to 6,558.78, 9,832.74 and 2,607.60

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Solution

The fourth proportional to 6,558.78, 9,832.74 and 2,607.60 is: 3,909.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.78 : 9,832.74 = 2,607.60 : x
  2. Step 2: Convert to fraction form
    6,558.78/9,832.74 = 2,607.60/x
  3. Step 3: Cross multiply
    6,558.78x = 9,832.74 × 2,607.60
  4. Step 4: Simplify right side
    6,558.78x = 25,639,852.82
  5. Step 5: Solve for x
    x = 25,639,852.82/6,558.78
  6. Step 6: Final answer
    x = 3,909.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.