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Finding the Fourth Proportional to 6,732.71, 10,098.92 and 1,802.35

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Solution

The fourth proportional to 6,732.71, 10,098.92 and 1,802.35 is: 2,703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.71 : 10,098.92 = 1,802.35 : x
  2. Step 2: Convert to fraction form
    6,732.71/10,098.92 = 1,802.35/x
  3. Step 3: Cross multiply
    6,732.71x = 10,098.92 × 1,802.35
  4. Step 4: Simplify right side
    6,732.71x = 18,201,788.46
  5. Step 5: Solve for x
    x = 18,201,788.46/6,732.71
  6. Step 6: Final answer
    x = 2,703.49

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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.