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Finding the Fourth Proportional to 6,732.53, 10,098.64 and 1,802.17

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Solution

The fourth proportional to 6,732.53, 10,098.64 and 1,802.17 is: 2,703.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.53 : 10,098.64 = 1,802.17 : x
  2. Step 2: Convert to fraction form
    6,732.53/10,098.64 = 1,802.17/x
  3. Step 3: Cross multiply
    6,732.53x = 10,098.64 × 1,802.17
  4. Step 4: Simplify right side
    6,732.53x = 18,199,415.56
  5. Step 5: Solve for x
    x = 18,199,415.56/6,732.53
  6. Step 6: Final answer
    x = 2,703.21

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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.