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Finding the Fourth Proportional to 6,591.88, 9,884.94 and 2,485

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Solution

The fourth proportional to 6,591.88, 9,884.94 and 2,485 is: 3,726.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.88 : 9,884.94 = 2,485 : x
  2. Step 2: Convert to fraction form
    6,591.88/9,884.94 = 2,485/x
  3. Step 3: Cross multiply
    6,591.88x = 9,884.94 × 2,485
  4. Step 4: Simplify right side
    6,591.88x = 24,564,075.90
  5. Step 5: Solve for x
    x = 24,564,075.90/6,591.88
  6. Step 6: Final answer
    x = 3,726.41

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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.