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Finding the Fourth Proportional to 6,704, 10,067.36 and 4,368

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Solution

The fourth proportional to 6,704, 10,067.36 and 4,368 is: 6,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704 : 10,067.36 = 4,368 : x
  2. Step 2: Convert to fraction form
    6,704/10,067.36 = 4,368/x
  3. Step 3: Cross multiply
    6,704x = 10,067.36 × 4,368
  4. Step 4: Simplify right side
    6,704x = 43,974,228.48
  5. Step 5: Solve for x
    x = 43,974,228.48/6,704
  6. Step 6: Final answer
    x = 6,559.40

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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.