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Finding the Fourth Proportional to 10,563.84, 14,578.56 and 6,372

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Solution

The fourth proportional to 10,563.84, 14,578.56 and 6,372 is: 8,793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.84 : 14,578.56 = 6,372 : x
  2. Step 2: Convert to fraction form
    10,563.84/14,578.56 = 6,372/x
  3. Step 3: Cross multiply
    10,563.84x = 14,578.56 × 6,372
  4. Step 4: Simplify right side
    10,563.84x = 92,894,584.32
  5. Step 5: Solve for x
    x = 92,894,584.32/10,563.84
  6. Step 6: Final answer
    x = 8,793.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.