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Finding the Fourth Proportional to 6,538.66, 9,802.46 and 2,838.09

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Solution

The fourth proportional to 6,538.66, 9,802.46 and 2,838.09 is: 4,254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.66 : 9,802.46 = 2,838.09 : x
  2. Step 2: Convert to fraction form
    6,538.66/9,802.46 = 2,838.09/x
  3. Step 3: Cross multiply
    6,538.66x = 9,802.46 × 2,838.09
  4. Step 4: Simplify right side
    6,538.66x = 27,820,263.70
  5. Step 5: Solve for x
    x = 27,820,263.70/6,538.66
  6. Step 6: Final answer
    x = 4,254.73

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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.