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Finding the Fourth Proportional to 12,153.50, 16,771.84 and 6,564.50

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Solution

The fourth proportional to 12,153.50, 16,771.84 and 6,564.50 is: 9,059.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.50 : 16,771.84 = 6,564.50 : x
  2. Step 2: Convert to fraction form
    12,153.50/16,771.84 = 6,564.50/x
  3. Step 3: Cross multiply
    12,153.50x = 16,771.84 × 6,564.50
  4. Step 4: Simplify right side
    12,153.50x = 110,098,743.68
  5. Step 5: Solve for x
    x = 110,098,743.68/12,153.50
  6. Step 6: Final answer
    x = 9,059.02

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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.