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Finding the Fourth Proportional to 6,476.90, 9,713.90 and 2,528.27

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Solution

The fourth proportional to 6,476.90, 9,713.90 and 2,528.27 is: 3,791.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.90 : 9,713.90 = 2,528.27 : x
  2. Step 2: Convert to fraction form
    6,476.90/9,713.90 = 2,528.27/x
  3. Step 3: Cross multiply
    6,476.90x = 9,713.90 × 2,528.27
  4. Step 4: Simplify right side
    6,476.90x = 24,559,300.74
  5. Step 5: Solve for x
    x = 24,559,300.74/6,476.90
  6. Step 6: Final answer
    x = 3,791.83

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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.