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Finding the Fourth Proportional to 6,592.50, 9,887.64 and 2,209.94

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Solution

The fourth proportional to 6,592.50, 9,887.64 and 2,209.94 is: 3,314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.50 : 9,887.64 = 2,209.94 : x
  2. Step 2: Convert to fraction form
    6,592.50/9,887.64 = 2,209.94/x
  3. Step 3: Cross multiply
    6,592.50x = 9,887.64 × 2,209.94
  4. Step 4: Simplify right side
    6,592.50x = 21,851,091.14
  5. Step 5: Solve for x
    x = 21,851,091.14/6,592.50
  6. Step 6: Final answer
    x = 3,314.54

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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.