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Finding the Fourth Proportional to 13,476.44, 20,214.66 and 6,545

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Solution

The fourth proportional to 13,476.44, 20,214.66 and 6,545 is: 9,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,476.44 : 20,214.66 = 6,545 : x
  2. Step 2: Convert to fraction form
    13,476.44/20,214.66 = 6,545/x
  3. Step 3: Cross multiply
    13,476.44x = 20,214.66 × 6,545
  4. Step 4: Simplify right side
    13,476.44x = 132,304,949.70
  5. Step 5: Solve for x
    x = 132,304,949.70/13,476.44
  6. Step 6: Final answer
    x = 9,817.50

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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.