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Finding the Fourth Proportional to 6,998.13, 10,494.11 and 3,710.48

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Solution

The fourth proportional to 6,998.13, 10,494.11 and 3,710.48 is: 5,564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.13 : 10,494.11 = 3,710.48 : x
  2. Step 2: Convert to fraction form
    6,998.13/10,494.11 = 3,710.48/x
  3. Step 3: Cross multiply
    6,998.13x = 10,494.11 × 3,710.48
  4. Step 4: Simplify right side
    6,998.13x = 38,938,114.25
  5. Step 5: Solve for x
    x = 38,938,114.25/6,998.13
  6. Step 6: Final answer
    x = 5,564.07

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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.