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Finding the Fourth Proportional to 7,906, 10,914.84 and 6,046.48

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Solution

The fourth proportional to 7,906, 10,914.84 and 6,046.48 is: 8,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906 : 10,914.84 = 6,046.48 : x
  2. Step 2: Convert to fraction form
    7,906/10,914.84 = 6,046.48/x
  3. Step 3: Cross multiply
    7,906x = 10,914.84 × 6,046.48
  4. Step 4: Simplify right side
    7,906x = 65,996,361.76
  5. Step 5: Solve for x
    x = 65,996,361.76/7,906
  6. Step 6: Final answer
    x = 8,347.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.