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Finding the Fourth Proportional to 6,557.86, 9,838.16 and 2,175.00

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Solution

The fourth proportional to 6,557.86, 9,838.16 and 2,175.00 is: 3,262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.86 : 9,838.16 = 2,175.00 : x
  2. Step 2: Convert to fraction form
    6,557.86/9,838.16 = 2,175.00/x
  3. Step 3: Cross multiply
    6,557.86x = 9,838.16 × 2,175.00
  4. Step 4: Simplify right side
    6,557.86x = 21,398,013.73
  5. Step 5: Solve for x
    x = 21,398,013.73/6,557.86
  6. Step 6: Final answer
    x = 3,262.96

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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.