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Finding the Fourth Proportional to 6,906.93, 10,360.39 and 1,712.81

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Solution

The fourth proportional to 6,906.93, 10,360.39 and 1,712.81 is: 2,569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.93 : 10,360.39 = 1,712.81 : x
  2. Step 2: Convert to fraction form
    6,906.93/10,360.39 = 1,712.81/x
  3. Step 3: Cross multiply
    6,906.93x = 10,360.39 × 1,712.81
  4. Step 4: Simplify right side
    6,906.93x = 17,745,349.41
  5. Step 5: Solve for x
    x = 17,745,349.41/6,906.93
  6. Step 6: Final answer
    x = 2,569.21

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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.