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Finding the Fourth Proportional to 6,557.60, 9,837.12 and 2,661.44

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Solution

The fourth proportional to 6,557.60, 9,837.12 and 2,661.44 is: 3,992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.60 : 9,837.12 = 2,661.44 : x
  2. Step 2: Convert to fraction form
    6,557.60/9,837.12 = 2,661.44/x
  3. Step 3: Cross multiply
    6,557.60x = 9,837.12 × 2,661.44
  4. Step 4: Simplify right side
    6,557.60x = 26,180,904.65
  5. Step 5: Solve for x
    x = 26,180,904.65/6,557.60
  6. Step 6: Final answer
    x = 3,992.45

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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.