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Finding the Fourth Proportional to 6,597.26, 9,896.53 and 1,917.31

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Solution

The fourth proportional to 6,597.26, 9,896.53 and 1,917.31 is: 2,876.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.26 : 9,896.53 = 1,917.31 : x
  2. Step 2: Convert to fraction form
    6,597.26/9,896.53 = 1,917.31/x
  3. Step 3: Cross multiply
    6,597.26x = 9,896.53 × 1,917.31
  4. Step 4: Simplify right side
    6,597.26x = 18,974,671.24
  5. Step 5: Solve for x
    x = 18,974,671.24/6,597.26
  6. Step 6: Final answer
    x = 2,876.15

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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.