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Finding the Fourth Proportional to 10,554, 14,564.76 and 6,834.48

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Solution

The fourth proportional to 10,554, 14,564.76 and 6,834.48 is: 9,431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,554 : 14,564.76 = 6,834.48 : x
  2. Step 2: Convert to fraction form
    10,554/14,564.76 = 6,834.48/x
  3. Step 3: Cross multiply
    10,554x = 14,564.76 × 6,834.48
  4. Step 4: Simplify right side
    10,554x = 99,542,560.92
  5. Step 5: Solve for x
    x = 99,542,560.92/10,554
  6. Step 6: Final answer
    x = 9,431.74

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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.