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Finding the Fourth Proportional to 6,504, 9,757.68 and 1,887.12

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Solution

The fourth proportional to 6,504, 9,757.68 and 1,887.12 is: 2,831.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504 : 9,757.68 = 1,887.12 : x
  2. Step 2: Convert to fraction form
    6,504/9,757.68 = 1,887.12/x
  3. Step 3: Cross multiply
    6,504x = 9,757.68 × 1,887.12
  4. Step 4: Simplify right side
    6,504x = 18,413,913.08
  5. Step 5: Solve for x
    x = 18,413,913.08/6,504
  6. Step 6: Final answer
    x = 2,831.17

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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.