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Finding the Fourth Proportional to 6,537.51, 9,807.89 and 2,155.41

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Solution

The fourth proportional to 6,537.51, 9,807.89 and 2,155.41 is: 3,233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.51 : 9,807.89 = 2,155.41 : x
  2. Step 2: Convert to fraction form
    6,537.51/9,807.89 = 2,155.41/x
  3. Step 3: Cross multiply
    6,537.51x = 9,807.89 × 2,155.41
  4. Step 4: Simplify right side
    6,537.51x = 21,140,013.41
  5. Step 5: Solve for x
    x = 21,140,013.41/6,537.51
  6. Step 6: Final answer
    x = 3,233.65

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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.