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Finding the Fourth Proportional to 6,597.25, 9,896.65 and 2,899.02

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Solution

The fourth proportional to 6,597.25, 9,896.65 and 2,899.02 is: 4,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.25 : 9,896.65 = 2,899.02 : x
  2. Step 2: Convert to fraction form
    6,597.25/9,896.65 = 2,899.02/x
  3. Step 3: Cross multiply
    6,597.25x = 9,896.65 × 2,899.02
  4. Step 4: Simplify right side
    6,597.25x = 28,690,616.15
  5. Step 5: Solve for x
    x = 28,690,616.15/6,597.25
  6. Step 6: Final answer
    x = 4,348.88

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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.