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Finding the Fourth Proportional to 6,596, 9,893.38 and 1,917.24

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Solution

The fourth proportional to 6,596, 9,893.38 and 1,917.24 is: 2,875.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596 : 9,893.38 = 1,917.24 : x
  2. Step 2: Convert to fraction form
    6,596/9,893.38 = 1,917.24/x
  3. Step 3: Cross multiply
    6,596x = 9,893.38 × 1,917.24
  4. Step 4: Simplify right side
    6,596x = 18,967,983.87
  5. Step 5: Solve for x
    x = 18,967,983.87/6,596
  6. Step 6: Final answer
    x = 2,875.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.