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Finding the Fourth Proportional to 6,548.05, 9,824.51 and 2,655.19

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Solution

The fourth proportional to 6,548.05, 9,824.51 and 2,655.19 is: 3,983.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.05 : 9,824.51 = 2,655.19 : x
  2. Step 2: Convert to fraction form
    6,548.05/9,824.51 = 2,655.19/x
  3. Step 3: Cross multiply
    6,548.05x = 9,824.51 × 2,655.19
  4. Step 4: Simplify right side
    6,548.05x = 26,085,940.71
  5. Step 5: Solve for x
    x = 26,085,940.71/6,548.05
  6. Step 6: Final answer
    x = 3,983.77

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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.