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Finding the Fourth Proportional to 6,354.09, 9,527.89 and 2,655.31

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Solution

The fourth proportional to 6,354.09, 9,527.89 and 2,655.31 is: 3,981.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.09 : 9,527.89 = 2,655.31 : x
  2. Step 2: Convert to fraction form
    6,354.09/9,527.89 = 2,655.31/x
  3. Step 3: Cross multiply
    6,354.09x = 9,527.89 × 2,655.31
  4. Step 4: Simplify right side
    6,354.09x = 25,299,488.32
  5. Step 5: Solve for x
    x = 25,299,488.32/6,354.09
  6. Step 6: Final answer
    x = 3,981.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.