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Finding the Fourth Proportional to 6,553, 9,831.12 and 1,936

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Solution

The fourth proportional to 6,553, 9,831.12 and 1,936 is: 2,904.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553 : 9,831.12 = 1,936 : x
  2. Step 2: Convert to fraction form
    6,553/9,831.12 = 1,936/x
  3. Step 3: Cross multiply
    6,553x = 9,831.12 × 1,936
  4. Step 4: Simplify right side
    6,553x = 19,033,048.32
  5. Step 5: Solve for x
    x = 19,033,048.32/6,553
  6. Step 6: Final answer
    x = 2,904.48

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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.