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Finding the Fourth Proportional to 6,733.53, 10,102.73 and 3,448.17

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Solution

The fourth proportional to 6,733.53, 10,102.73 and 3,448.17 is: 5,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.53 : 10,102.73 = 3,448.17 : x
  2. Step 2: Convert to fraction form
    6,733.53/10,102.73 = 3,448.17/x
  3. Step 3: Cross multiply
    6,733.53x = 10,102.73 × 3,448.17
  4. Step 4: Simplify right side
    6,733.53x = 34,835,913.26
  5. Step 5: Solve for x
    x = 34,835,913.26/6,733.53
  6. Step 6: Final answer
    x = 5,173.50

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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.