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Finding the Fourth Proportional to 6,715.14, 9,267.62 and 3,844.12

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Solution

The fourth proportional to 6,715.14, 9,267.62 and 3,844.12 is: 5,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.14 : 9,267.62 = 3,844.12 : x
  2. Step 2: Convert to fraction form
    6,715.14/9,267.62 = 3,844.12/x
  3. Step 3: Cross multiply
    6,715.14x = 9,267.62 × 3,844.12
  4. Step 4: Simplify right side
    6,715.14x = 35,625,843.39
  5. Step 5: Solve for x
    x = 35,625,843.39/6,715.14
  6. Step 6: Final answer
    x = 5,305.30

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1.5x scale

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.