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Finding the Fourth Proportional to 6,697.14, 10,053 and 4,936.68

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Solution

The fourth proportional to 6,697.14, 10,053 and 4,936.68 is: 7,410.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.14 : 10,053 = 4,936.68 : x
  2. Step 2: Convert to fraction form
    6,697.14/10,053 = 4,936.68/x
  3. Step 3: Cross multiply
    6,697.14x = 10,053 × 4,936.68
  4. Step 4: Simplify right side
    6,697.14x = 49,628,444.04
  5. Step 5: Solve for x
    x = 49,628,444.04/6,697.14
  6. Step 6: Final answer
    x = 7,410.39

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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.