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Finding the Fourth Proportional to 6,696.79, 10,044.04 and 1,766.48

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Solution

The fourth proportional to 6,696.79, 10,044.04 and 1,766.48 is: 2,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.79 : 10,044.04 = 1,766.48 : x
  2. Step 2: Convert to fraction form
    6,696.79/10,044.04 = 1,766.48/x
  3. Step 3: Cross multiply
    6,696.79x = 10,044.04 × 1,766.48
  4. Step 4: Simplify right side
    6,696.79x = 17,742,536.73
  5. Step 5: Solve for x
    x = 17,742,536.73/6,696.79
  6. Step 6: Final answer
    x = 2,649.41

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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.