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Finding the Fourth Proportional to 6,551.09, 9,827.12 and 1,871.49

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Solution

The fourth proportional to 6,551.09, 9,827.12 and 1,871.49 is: 2,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.09 : 9,827.12 = 1,871.49 : x
  2. Step 2: Convert to fraction form
    6,551.09/9,827.12 = 1,871.49/x
  3. Step 3: Cross multiply
    6,551.09x = 9,827.12 × 1,871.49
  4. Step 4: Simplify right side
    6,551.09x = 18,391,356.81
  5. Step 5: Solve for x
    x = 18,391,356.81/6,551.09
  6. Step 6: Final answer
    x = 2,807.37

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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.